10122001012000 has 48 divisors (see below), whose sum is σ = 24869756496312. Its totient is φ = 4048800403200.

The previous prime is 10122001011949. The next prime is 10122001012021. The reversal of 10122001012000 is 21010022101.

It can be written as a sum of positive squares in 4 ways, for example, as 2592267442704 + 7529733569296 = 1610052^2 + 2744036^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1265246127 + ... + 1265254126.

Almost surely, 2^{10122001012000} is an apocalyptic number.

10122001012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122001012000 is an abundant number, since it is smaller than the sum of its proper divisors (14747755484312).

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

10122001012000 is an equidigital number, since it uses as much as digits as its factorization.

10122001012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530500278 (or 2530500260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122001012000 its reverse (21010022101), we get a palindrome (10143011034101).

The spelling of 10122001012000 in words is "ten trillion, one hundred twenty-two billion, one million, twelve thousand".