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100102001212020 = 223519347253051219
BaseRepresentation
bin10110110000101011010000…
…001110010011101001110100
3111010102122202120120222100010
4112300223100032103221310
5101110032344302241040
6552522120254420220
730041062623141153
oct2660532016235164
9433378676528303
10100102001212020
1129994025037505
12b288531801670
1343b17694355c2
141aa0d6996559a
15b88d3955ae80
hex5b0ad0393a74

100102001212020 has 96 divisors (see below), whose sum is σ = 295887730521600. Its totient is φ = 25216047771264.

The previous prime is 100102001212019. The next prime is 100102001212027. The reversal of 100102001212020 is 20212100201001.

100102001212020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100102001211987 and 100102001212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102001212027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126130030 + ... + 126921189.

It is an arithmetic number, because the mean of its divisors is an integer number (3082163859600).

Almost surely, 2100102001212020 is an apocalyptic number.

100102001212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102001212020 is an abundant number, since it is smaller than the sum of its proper divisors (195785729309580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100102001212020 is a wasteful number, since it uses less digits than its factorization.

100102001212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253051597 (or 253051595 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102001212020 its reverse (20212100201001), we get a palindrome (120314101413021).

The spelling of 100102001212020 in words is "one hundred trillion, one hundred two billion, one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 347 380 570 694 1041 1140 1388 1735 2082 3470 4164 5205 6593 6940 10410 13186 19779 20820 26372 32965 39558 65930 79116 98895 131860 197790 395580 253051219 506102438 759153657 1012204876 1265256095 1518307314 2530512190 3036614628 3795768285 4807973161 5061024380 7591536570 9615946322 14423919483 15183073140 19231892644 24039865805 28847838966 48079731610 57695677932 72119597415 87808772993 96159463220 144239194830 175617545986 263426318979 288478389660 351235091972 439043864965 526852637958 878087729930 1053705275916 1317131594895 1668366686867 1756175459860 2634263189790 3336733373734 5005100060601 5268526379580 6673466747468 8341833434335 10010200121202 16683666868670 20020400242404 25025500303005 33367333737340 50051000606010 100102001212020