10122012100 has 144 divisors (see below), whose sum is σ = 23268042000. Its totient is φ = 3816529920.

The previous prime is 10122012059. The next prime is 10122012119. The reversal of 10122012100 is 121022101.

It can be written as a sum of positive squares in 24 ways, for example, as 4355736004 + 5766276096 = 65998^2 + 75936^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 29002726 + ... + 29003074.

It is an arithmetic number, because the mean of its divisors is an integer number (161583625).

Almost surely, 2^10122012100 is an apocalyptic number.

10122012100 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 10122012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634021000).

10122012100 is an abundant number, since it is smaller than the sum of its proper divisors (13146029900).

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

10122012100 is a wasteful number, since it uses less digits than its factorization.

10122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122012100 its reverse (121022101), we get a palindrome (10243034201).

The spelling of 10122012100 in words is "ten billion, one hundred twenty-two million, twelve thousand, one hundred".