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100122201001212 = 223139111607438401
BaseRepresentation
bin10110110000111110000100…
…001110011000110011111100
3111010111120220100001120211120
4112300332010032120303330
5101110400231424014322
6552535300522150540
730042406322413635
oct2660760416306374
9433446810046746
10100122201001212
11299a1650315065
12b29042a652450
1343b36383225a0
141aa1d245b688c
15b8961cadda5c
hex5b0f84398cfc

100122201001212 has 96 divisors (see below), whose sum is σ = 252022593521664. Its totient is φ = 30753795072000.

The previous prime is 100122201001187. The next prime is 100122201001219. The reversal of 100122201001212 is 212100102221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122201001191 and 100122201001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122201001219) 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, 228161212 + ... + 228599612.

It is an arithmetic number, because the mean of its divisors is an integer number (2625235349184).

Almost surely, 2100122201001212 is an apocalyptic number.

100122201001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122201001212 is an abundant number, since it is smaller than the sum of its proper divisors (151900392520452).

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

100122201001212 is a wasteful number, since it uses less digits than its factorization.

100122201001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440939 (or 440937 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122201001212 its reverse (212100102221001), we get a palindrome (312222303222213).

The spelling of 100122201001212 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 911 1607 1822 2733 3214 3644 4821 5466 6428 9642 10932 11843 19284 20891 23686 35529 41782 47372 62673 71058 83564 125346 142116 250692 438401 876802 1315203 1463977 1753604 2630406 2927954 4391931 5260812 5699213 5855908 8783862 11398426 17097639 17567724 19031701 22796852 34195278 38063402 57095103 68390556 76126804 114190206 228380412 399383311 704510407 798766622 1198149933 1409020814 1597533244 2113531221 2396299866 2818041628 4227062442 4792599732 5191983043 8454124884 9158635291 10383966086 15575949129 18317270582 20767932172 27475905873 31151898258 36634541164 54951811746 62303796516 109903623492 641808980777 1283617961554 1925426942331 2567235923108 3850853884662 7701707769324 8343516750101 16687033500202 25030550250303 33374067000404 50061100500606 100122201001212