101110001112121 has 4 divisors (see below), whose sum is σ = 102389874544000. Its totient is φ = 99830127680244.

The previous prime is 101110001112073. The next prime is 101110001112139. The reversal of 101110001112121 is 121211100011101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101110001112121 - 2⁷ = 101110001111993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110001112151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 639936715821 + ... + 639936715978.

It is an arithmetic number, because the mean of its divisors is an integer number (25597468636000).

Almost surely, 2^{101110001112121} is an apocalyptic number.

It is an amenable number.

101110001112121 is a deficient number, since it is larger than the sum of its proper divisors (1279873431879).

101110001112121 is an equidigital number, since it uses as much as digits as its factorization.

101110001112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279873431878.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101110001112121 its reverse (121211100011101), we get a palindrome (222321101123222).

The spelling of 101110001112121 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred twelve thousand, one hundred twenty-one".