100012120112121 has 32 divisors (see below), whose sum is σ = 152600699317248. Its totient is φ = 57074327956800.

The previous prime is 100012120112029. The next prime is 100012120112131. The reversal of 100012120112121 is 121211021210001.

It is a happy number.

It is not a de Polignac number, because 100012120112121 - 2⁷ = 100012120111993 is a prime.

It is a super-2 number, since 2×100012120112121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100012120112121.

It is not an unprimeable number, because it can be changed into a prime (100012120112131) 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, 98645071 + ... + 99653771.

It is an arithmetic number, because the mean of its divisors is an integer number (4768771853664).

Almost surely, 2^{100012120112121} is an apocalyptic number.

It is an amenable number.

100012120112121 is a deficient number, since it is larger than the sum of its proper divisors (52588579205127).

100012120112121 is a wasteful number, since it uses less digits than its factorization.

100012120112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014941.

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

Adding to 100012120112121 its reverse (121211021210001), we get a palindrome (221223141322122).

The spelling of 100012120112121 in words is "one hundred trillion, twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty-one".