100100020112111 has 6 divisors (see below), whose sum is σ = 106334623441200. Its totient is φ = 94211783634656.

The previous prime is 100100020112083. The next prime is 100100020112143. The reversal of 100100020112111 is 111211020001001.

It is not a de Polignac number, because 100100020112111 - 2²⁶ = 100099953003247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100020112092 and 100100020112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100020112161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173183425511 + ... + 173183426088.

It is an arithmetic number, because the mean of its divisors is an integer number (17722437240200).

Almost surely, 2^{100100020112111} is an apocalyptic number.

100100020112111 is a deficient number, since it is larger than the sum of its proper divisors (6234603329089).

100100020112111 is an equidigital number, since it uses as much as digits as its factorization.

100100020112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346366851633 (or 346366851616 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100100020112111 its reverse (111211020001001), we get a palindrome (211311040113112).

The spelling of 100100020112111 in words is "one hundred trillion, one hundred billion, twenty million, one hundred twelve thousand, one hundred eleven".