10100112100 has 144 divisors (see below), whose sum is σ = 24279696000. Its totient is φ = 3623961600.

The previous prime is 10100112059. The next prime is 10100112101. The reversal of 10100112100 is 121100101.

It is not an unprimeable number, because it can be changed into a prime (10100112101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6737151 + ... + 6738649.

It is an arithmetic number, because the mean of its divisors is an integer number (168609000).

Almost surely, 2^10100112100 is an apocalyptic number.

10100112100 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 10100112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139848000).

10100112100 is an abundant number, since it is smaller than the sum of its proper divisors (14179583900).

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

10100112100 is a wasteful number, since it uses less digits than its factorization.

10100112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100112100 its reverse (121100101), we get a palindrome (10221212201).

The spelling of 10100112100 in words is "ten billion, one hundred million, one hundred twelve thousand, one hundred".