100012033120122 has 48 divisors (see below), whose sum is σ = 219790800595080. Its totient is φ = 32863824475776.

The previous prime is 100012033120117. The next prime is 100012033120177. The reversal of 100012033120122 is 221021330210001.

100012033120122 is a `hidden beast` number, since 10 + 0 + 0 + 120 + 331 + 201 + 2 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91238239600641 + 8773793519481 = 9551871^2 + 2962059^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100012033120095 and 100012033120104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128990473 + ... + 129763500.

Almost surely, 2^{100012033120122} is an apocalyptic number.

100012033120122 is an abundant number, since it is smaller than the sum of its proper divisors (119778767474958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100012033120122 is a wasteful number, since it uses less digits than its factorization.

100012033120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258754287 (or 258754284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100012033120122 its reverse (221021330210001), we get a palindrome (321033363330123).

The spelling of 100012033120122 in words is "one hundred trillion, twelve billion, thirty-three million, one hundred twenty thousand, one hundred twenty-two".