100022100111105 has 64 divisors (see below), whose sum is σ = 160504240275456. Its totient is φ = 53189136000000.

The previous prime is 100022100111083. The next prime is 100022100111161. The reversal of 100022100111105 is 501111001220001.

It is not a de Polignac number, because 100022100111105 - 2⁶ = 100022100111041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27054934617 + ... + 27054938313.

It is an arithmetic number, because the mean of its divisors is an integer number (2507878754304).

Almost surely, 2^{100022100111105} is an apocalyptic number.

100022100111105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100022100111105 is a deficient number, since it is larger than the sum of its proper divisors (60482140164351).

100022100111105 is a wasteful number, since it uses less digits than its factorization.

100022100111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 100022100111105 its reverse (501111001220001), we get a palindrome (601133101331106).

The spelling of 100022100111105 in words is "one hundred trillion, twenty-two billion, one hundred million, one hundred eleven thousand, one hundred five".