10132100112 has 80 divisors (see below), whose sum is σ = 26473269888. Its totient is φ = 3338941440.

The previous prime is 10132100107. The next prime is 10132100117. The reversal of 10132100112 is 21100123101.

It is an interprime number because it is at equal distance from previous prime (10132100107) and next prime (10132100117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10132100117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3761038 + ... + 3763730.

Almost surely, 2^10132100112 is an apocalyptic number.

10132100112 is a gapful number since it is divisible by the number (12) 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 10132100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236634944).

10132100112 is an abundant number, since it is smaller than the sum of its proper divisors (16341169776).

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

10132100112 is a wasteful number, since it uses less digits than its factorization.

10132100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10132100112 its reverse (21100123101), we get a palindrome (31232223213).

The spelling of 10132100112 in words is "ten billion, one hundred thirty-two million, one hundred thousand, one hundred twelve".