10142131100 has 72 divisors (see below), whose sum is σ = 22251575808. Its totient is φ = 4012243200.

The previous prime is 10142131073. The next prime is 10142131123. The reversal of 10142131100 is 113124101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4736030 + ... + 4738170.

It is an arithmetic number, because the mean of its divisors is an integer number (309049664).

Almost surely, 2^10142131100 is an apocalyptic number.

10142131100 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 10142131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125787904).

10142131100 is an abundant number, since it is smaller than the sum of its proper divisors (12109444708).

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

10142131100 is a wasteful number, since it uses less digits than its factorization.

10142131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10142131100 its reverse (113124101), we get a palindrome (10255255201).

The spelling of 10142131100 in words is "ten billion, one hundred forty-two million, one hundred thirty-one thousand, one hundred".