100102112120121 has 32 divisors (see below), whose sum is σ = 137330009515008. Its totient is φ = 64811158856640.

The previous prime is 100102112120081. The next prime is 100102112120149. The reversal of 100102112120121 is 121021211201001.

It is a happy number.

It is not a de Polignac number, because 100102112120121 - 2⁶ = 100102112120057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100102112120121.

It is not an unprimeable number, because it can be changed into a prime (100102112120191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026523756 + ... + 1026621266.

It is an arithmetic number, because the mean of its divisors is an integer number (4291562797344).

Almost surely, 2^{100102112120121} is an apocalyptic number.

It is an amenable number.

100102112120121 is a deficient number, since it is larger than the sum of its proper divisors (37227897394887).

100102112120121 is a wasteful number, since it uses less digits than its factorization.

100102112120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114541.

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

Adding to 100102112120121 its reverse (121021211201001), we get a palindrome (221123323321122).

The spelling of 100102112120121 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".