100112012120101 has 16 divisors (see below), whose sum is σ = 109016518723200. Its totient is φ = 91571148260928.

The previous prime is 100112012120083. The next prime is 100112012120111. The reversal of 100112012120101 is 101021210211001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100112012120101 - 2⁹ = 100112012119589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112012120111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36647095 + ... + 39284011.

It is an arithmetic number, because the mean of its divisors is an integer number (6813532420200).

Almost surely, 2^{100112012120101} is an apocalyptic number.

It is an amenable number.

100112012120101 is a deficient number, since it is larger than the sum of its proper divisors (8904506603099).

100112012120101 is a wasteful number, since it uses less digits than its factorization.

100112012120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705868.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112012120101 its reverse (101021210211001), we get a palindrome (201133222331102).

The spelling of 100112012120101 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred twenty thousand, one hundred one".