100112002121121 has 32 divisors (see below), whose sum is σ = 134347778949120. Its totient is φ = 66309710552064.

The previous prime is 100112002121083. The next prime is 100112002121171. The reversal of 100112002121121 is 121121200211001.

It is a happy number.

It is not a de Polignac number, because 100112002121121 - 2²² = 100111997926817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100112002121121.

It is not an unprimeable number, because it can be changed into a prime (100112002121171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2384563296 + ... + 2384605278.

It is an arithmetic number, because the mean of its divisors is an integer number (4198368092160).

Almost surely, 2^{100112002121121} is an apocalyptic number.

It is an amenable number.

100112002121121 is a deficient number, since it is larger than the sum of its proper divisors (34235776827999).

100112002121121 is a wasteful number, since it uses less digits than its factorization.

100112002121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47405.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112002121121 its reverse (121121200211001), we get a palindrome (221233202332122).

The spelling of 100112002121121 in words is "one hundred trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, one hundred twenty-one".