100101111011121 has 256 divisors, whose sum is σ = 163946878820352. Its totient is φ = 53626779648000.

The previous prime is 100101111011113. The next prime is 100101111011141. The reversal of 100101111011121 is 121110111101001.

It is not a de Polignac number, because 100101111011121 - 2³ = 100101111011113 is a prime.

100101111011121 is a modest number, since divided by 11011121 gives 1001011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100101111011097 and 100101111011106.

It is not an unprimeable number, because it can be changed into a prime (100101111011101) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18111289260 + ... + 18111294786.

It is an arithmetic number, because the mean of its divisors is an integer number (640417495392).

Almost surely, 2^{100101111011121} is an apocalyptic number.

100101111011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101111011121 is a deficient number, since it is larger than the sum of its proper divisors (63845767809231).

100101111011121 is a wasteful number, since it uses less digits than its factorization.

100101111011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100101111011121 its reverse (121110111101001), we get a palindrome (221211222112122).

The spelling of 100101111011121 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred twenty-one".