10012112122032 has 60 divisors (see below), whose sum is σ = 28021808494680. Its totient is φ = 3337156283904.

The previous prime is 10012112122021. The next prime is 10012112122043. The reversal of 10012112122032 is 23022121121001.

It is an interprime number because it is at equal distance from previous prime (10012112122021) and next prime (10012112122043).

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 = 10012112121996 and 10012112122014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23368 + ... + 4474904.

It is an arithmetic number, because the mean of its divisors is an integer number (467030141578).

Almost surely, 2^{10012112122032} is an apocalyptic number.

10012112122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012112122032 is an abundant number, since it is smaller than the sum of its proper divisors (18009696372648).

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

10012112122032 is a wasteful number, since it uses less digits than its factorization.

10012112122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467170 (or 4467161 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10012112122032 its reverse (23022121121001), we get a palindrome (33034233243033).

The spelling of 10012112122032 in words is "ten trillion, twelve billion, one hundred twelve million, one hundred twenty-two thousand, thirty-two".