100110020122113 has 16 divisors (see below), whose sum is σ = 133504404913152. Its totient is φ = 66727825010000.

The previous prime is 100110020122109. The next prime is 100110020122169. The reversal of 100110020122113 is 311221020011001.

It is a cyclic number.

It is not a de Polignac number, because 100110020122113 - 2² = 100110020122109 is a prime.

It is a super-2 number, since 2×100110020122113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110020122092 and 100110020122101.

It is not an unprimeable number, because it can be changed into a prime (100110020122183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967092028 + ... + 967195538.

It is an arithmetic number, because the mean of its divisors is an integer number (8344025307072).

Almost surely, 2^{100110020122113} is an apocalyptic number.

It is an amenable number.

100110020122113 is a deficient number, since it is larger than the sum of its proper divisors (33394384791039).

100110020122113 is a wasteful number, since it uses less digits than its factorization.

100110020122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159276.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100110020122113 its reverse (311221020011001), we get a palindrome (411331040133114).

The spelling of 100110020122113 in words is "one hundred trillion, one hundred ten billion, twenty million, one hundred twenty-two thousand, one hundred thirteen".