100110000111121 has 32 divisors (see below), whose sum is σ = 139048372512000. Its totient is φ = 69524186215680.

The previous prime is 100110000111101. The next prime is 100110000111137. The reversal of 100110000111121 is 121111000011001.

It is a de Polignac number, because none of the positive numbers 2^k-100110000111121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110000111098 and 100110000111107.

It is not an unprimeable number, because it can be changed into a prime (100110000111101) 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, 1724281146 + ... + 1724339203.

It is an arithmetic number, because the mean of its divisors is an integer number (4345261641000).

Almost surely, 2^{100110000111121} is an apocalyptic number.

100110000111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110000111121 is a deficient number, since it is larger than the sum of its proper divisors (38938372400879).

100110000111121 is a wasteful number, since it uses less digits than its factorization.

100110000111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448620409.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100110000111121 its reverse (121111000011001), we get a palindrome (221221000122122).

The spelling of 100110000111121 in words is "one hundred trillion, one hundred ten billion, one hundred eleven thousand, one hundred twenty-one".