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100102022122212 = 2232111311929640337
BaseRepresentation
bin10110110000101011010001…
…011110000100101011100100
3111010102122211000221022201200
4112300223101132010223210
5101110032420130402322
6552522122322522500
730041063265650625
oct2660532136045344
9433378730838650
10100102022122212
1129994035919660
12b288538806430
1343b17708770b6
141aa0d6c649a4c
15b88d3b2db8ac
hex5b0ad1784ae4

100102022122212 has 72 divisors (see below), whose sum is σ = 278146076880672. Its totient is φ = 30102389241600.

The previous prime is 100102022122181. The next prime is 100102022122229. The reversal of 100102022122212 is 212221220201001.

It is a happy number.

100102022122212 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964768293 + ... + 964872044.

It is an arithmetic number, because the mean of its divisors is an integer number (3863139956676).

Almost surely, 2100102022122212 is an apocalyptic number.

100102022122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102022122212 is an abundant number, since it is smaller than the sum of its proper divisors (178044054758460).

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

100102022122212 is a wasteful number, since it uses less digits than its factorization.

100102022122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929640489 (or 1929640484 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100102022122212 its reverse (212221220201001), we get a palindrome (312323242323213).

The spelling of 100102022122212 in words is "one hundred trillion, one hundred two billion, twenty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 198 262 393 396 524 786 1179 1441 1572 2358 2882 4323 4716 5764 8646 12969 17292 25938 51876 1929640337 3859280674 5788921011 7718561348 11577842022 17366763033 21226043707 23155684044 34733526066 42452087414 63678131121 69467052132 84904174828 127356262242 191034393363 252782884147 254712524484 382068786726 505565768294 758348652441 764137573452 1011131536588 1516697304882 2275045957323 2780611725617 3033394609764 4550091914646 5561223451234 8341835176851 9100183829292 11122446902468 16683670353702 25025505530553 33367340707404 50051011061106 100102022122212