10127174721000 has 128 divisors (see below), whose sum is σ = 31615869317760. Its totient is φ = 2698948800000.

The previous prime is 10127174720989. The next prime is 10127174721023. The reversal of 10127174721000 is 12747172101.

It is a super-2 number, since 2×10127174721000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3952375 + ... + 5989625.

It is an arithmetic number, because the mean of its divisors is an integer number (246998979045).

Almost surely, 2^{10127174721000} is an apocalyptic number.

10127174721000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127174721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807934658880).

10127174721000 is an abundant number, since it is smaller than the sum of its proper divisors (21488694596760).

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

10127174721000 is a wasteful number, since it uses less digits than its factorization.

10127174721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038932 (or 2038918 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The spelling of 10127174721000 in words is "ten trillion, one hundred twenty-seven billion, one hundred seventy-four million, seven hundred twenty-one thousand".