10120012100 has 72 divisors (see below), whose sum is σ = 24026774688. Its totient is φ = 3669260800.

The previous prime is 10120012099. The next prime is 10120012109. The reversal of 10120012100 is 121002101.

It is not an unprimeable number, because it can be changed into a prime (10120012109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368444 + ... + 394956.

It is an arithmetic number, because the mean of its divisors is an integer number (333705204).

Almost surely, 2^10120012100 is an apocalyptic number.

10120012100 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 10120012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12013387344).

10120012100 is an abundant number, since it is smaller than the sum of its proper divisors (13906762588).

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

10120012100 is a wasteful number, since it uses less digits than its factorization.

10120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26885 (or 26878 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120012100 its reverse (121002101), we get a palindrome (10241014201).

Subtracting from 10120012100 its reverse (121002101), we obtain a palindrome (9999009999).

It can be divided in two parts, 1012001 and 2100, that added together give a palindrome (1014101).

The spelling of 10120012100 in words is "ten billion, one hundred twenty million, twelve thousand, one hundred".