100122432100 has 72 divisors (see below), whose sum is σ = 220550008896. Its totient is φ = 39444720000.

The previous prime is 100122432077. The next prime is 100122432101. The reversal of 100122432100 is 1234221001.

It is a super-2 number, since 2×100122432100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100122432101) 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, 7526455 + ... + 7539745.

It is an arithmetic number, because the mean of its divisors is an integer number (3063194568).

Almost surely, 2^100122432100 is an apocalyptic number.

100122432100 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 100122432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110275004448).

100122432100 is an abundant number, since it is smaller than the sum of its proper divisors (120427576796).

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

100122432100 is a wasteful number, since it uses less digits than its factorization.

100122432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14437 (or 14430 counting only the distinct ones).

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

Adding to 100122432100 its reverse (1234221001), we get a palindrome (101356653101).

The spelling of 100122432100 in words is "one hundred billion, one hundred twenty-two million, four hundred thirty-two thousand, one hundred".