10132012331100 has 324 divisors, whose sum is σ = 36745066732920. Its totient is φ = 2326968864000.

The previous prime is 10132012331093. The next prime is 10132012331101. The reversal of 10132012331100 is 113321023101.

10132012331100 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 1 + 2 + 331 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132012331101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 379311 + ... + 4517510.

Almost surely, 2^{10132012331100} is an apocalyptic number.

10132012331100 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 10132012331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372533366460).

10132012331100 is an abundant number, since it is smaller than the sum of its proper divisors (26613054401820).

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

10132012331100 is a wasteful number, since it uses less digits than its factorization.

10132012331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896882 (or 4896861 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10132012331100 its reverse (113321023101), we get a palindrome (10245333354201).

The spelling of 10132012331100 in words is "ten trillion, one hundred thirty-two billion, twelve million, three hundred thirty-one thousand, one hundred".