10136989982900 has 144 divisors (see below), whose sum is σ = 24222512160000. Its totient is φ = 3651555340800.

The previous prime is 10136989982897. The next prime is 10136989982921. The reversal of 10136989982900 is 928998963101.

10136989982900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938691701 + ... + 938702499.

It is an arithmetic number, because the mean of its divisors is an integer number (168211890000).

Almost surely, 2^{10136989982900} is an apocalyptic number.

10136989982900 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 10136989982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111256080000).

10136989982900 is an abundant number, since it is smaller than the sum of its proper divisors (14085522177100).

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

10136989982900 is a wasteful number, since it uses less digits than its factorization.

10136989982900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18762 (or 18755 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 65.

The spelling of 10136989982900 in words is "ten trillion, one hundred thirty-six billion, nine hundred eighty-nine million, nine hundred eighty-two thousand, nine hundred".