10122432100 has 144 divisors (see below), whose sum is σ = 24382814400. Its totient is φ = 3616960000.

The previous prime is 10122432091. The next prime is 10122432109. The reversal of 10122432100 is 123422101.

It is an interprime number because it is at equal distance from previous prime (10122432091) and next prime (10122432109).

It is a super-2 number, since 2×10122432100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122432109) 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, 19886646 + ... + 19887154.

It is an arithmetic number, because the mean of its divisors is an integer number (169325100).

Almost surely, 2^10122432100 is an apocalyptic number.

10122432100 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 10122432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191407200).

10122432100 is an abundant number, since it is smaller than the sum of its proper divisors (14260382300).

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

10122432100 is a wasteful number, since it uses less digits than its factorization.

10122432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10122432100 its reverse (123422101), we get a palindrome (10245854201).

Subtracting from 10122432100 its reverse (123422101), we obtain a palindrome (9999009999).

The spelling of 10122432100 in words is "ten billion, one hundred twenty-two million, four hundred thirty-two thousand, one hundred".