10107721331100 has 360 divisors, whose sum is σ = 33147764407296. Its totient is φ = 2664090000000.

The previous prime is 10107721331053. The next prime is 10107721331129. The reversal of 10107721331100 is 113312770101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 266317125 + ... + 266355075.

Almost surely, 2^{10107721331100} is an apocalyptic number.

10107721331100 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 10107721331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573882203648).

10107721331100 is an abundant number, since it is smaller than the sum of its proper divisors (23040043076196).

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

10107721331100 is a wasteful number, since it uses less digits than its factorization.

10107721331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38359 (or 38343 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The spelling of 10107721331100 in words is "ten trillion, one hundred seven billion, seven hundred twenty-one million, three hundred thirty-one thousand, one hundred".