100011100112121 has 128 divisors (see below), whose sum is σ = 156566051905536. Its totient is φ = 56169266503680.

The previous prime is 100011100112093. The next prime is 100011100112141. The reversal of 100011100112121 is 121211001110001.

It is not a de Polignac number, because 100011100112121 - 2⁵ = 100011100112089 is a prime.

It is a super-2 number, since 2×100011100112121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100011100112097 and 100011100112106.

It is not an unprimeable number, because it can be changed into a prime (100011100112141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7206961435 + ... + 7206975311.

It is an arithmetic number, because the mean of its divisors is an integer number (1223172280512).

Almost surely, 2^{100011100112121} is an apocalyptic number.

100011100112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011100112121 is a deficient number, since it is larger than the sum of its proper divisors (56554951793415).

100011100112121 is a wasteful number, since it uses less digits than its factorization.

100011100112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15031.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100011100112121 its reverse (121211001110001), we get a palindrome (221222101222122).

The spelling of 100011100112121 in words is "one hundred trillion, eleven billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".