10151631120 has 160 divisors (see below), whose sum is σ = 32354429184. Its totient is φ = 2632089600.

The previous prime is 10151631109. The next prime is 10151631131. The reversal of 10151631120 is 2113615101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10151631109) and next prime (10151631131).

It is a super-2 number, since 2×10151631120² (a number of 21 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, 1239840 + ... + 1248000.

Almost surely, 2^10151631120 is an apocalyptic number.

10151631120 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 10151631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177214592).

10151631120 is an abundant number, since it is smaller than the sum of its proper divisors (22202798064).

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

10151631120 is a wasteful number, since it uses less digits than its factorization.

10151631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8321 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 10151631120 in words is "ten billion, one hundred fifty-one million, six hundred thirty-one thousand, one hundred twenty".