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100122001210011 = 31137211171984079
BaseRepresentation
bin10110110000111101111000…
…010100001111101010011011
3111010111120101102010010211110
4112300331320110033222123
5101110344324302210021
6552535225024031403
730042401345256204
oct2660757024175233
9433446342103743
10100122001210011
11299a1558564a70
12b290393762563
1343b3605b0c341
141aa1d05c4a5ab
15b8960a2c6476
hex5b0f7850fa9b

100122001210011 has 48 divisors (see below), whose sum is σ = 149808452451840. Its totient is φ = 58987115118720.

The previous prime is 100122001210001. The next prime is 100122001210019. The reversal of 100122001210011 is 110012100221001.

It is not a de Polignac number, because 100122001210011 - 27 = 100122001209883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122001210019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49470670 + ... + 51454748.

It is an arithmetic number, because the mean of its divisors is an integer number (3121009426080).

Almost surely, 2100122001210011 is an apocalyptic number.

100122001210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100122001210011 is a deficient number, since it is larger than the sum of its proper divisors (49686451241829).

100122001210011 is a wasteful number, since it uses less digits than its factorization.

100122001210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985284 (or 1985247 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100122001210011 its reverse (110012100221001), we get a palindrome (210134101431012).

It can be divided in two parts, 10012200 and 1210011, that added together give a palindrome (11222211).

The spelling of 100122001210011 in words is "one hundred trillion, one hundred twenty-two billion, one million, two hundred ten thousand, eleven".

Divisors: 1 3 11 33 37 111 407 1117 1221 1369 3351 4107 12287 15059 36861 41329 45177 123987 454619 1363857 1529173 1984079 4587519 5952237 16820903 21824869 50462709 65474607 73410923 220232769 807520153 2216216243 2422560459 2716204151 6648648729 8148612453 24378378673 29878245661 73135136019 82000000991 89634736983 246000002973 902000010901 2706000032703 3034000036667 9102000110001 33374000403337 100122001210011