100397138100 has 288 divisors, whose sum is σ = 349894272000. Its totient is φ = 21712665600.

The previous prime is 100397138099. The next prime is 100397138117. The reversal of 100397138100 is 1831793001.

It is a super-2 number, since 2×100397138100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59091051 + ... + 59092749.

Almost surely, 2^100397138100 is an apocalyptic number.

100397138100 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 100397138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174947136000).

100397138100 is an abundant number, since it is smaller than the sum of its proper divisors (249497133900).

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

100397138100 is a wasteful number, since it uses less digits than its factorization.

100397138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 100397138100 in words is "one hundred billion, three hundred ninety-seven million, one hundred thirty-eight thousand, one hundred".