100613225100 has 288 divisors, whose sum is σ = 319267065600. Its totient is φ = 24374476800.

The previous prime is 100613224973. The next prime is 100613225101. The reversal of 100613225100 is 1522316001.

It is not an unprimeable number, because it can be changed into a prime (100613225101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13784652 + ... + 13791948.

It is an arithmetic number, because the mean of its divisors is an integer number (1108566200).

Almost surely, 2^100613225100 is an apocalyptic number.

100613225100 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 100613225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159633532800).

100613225100 is an abundant number, since it is smaller than the sum of its proper divisors (218653840500).

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

100613225100 is a wasteful number, since it uses less digits than its factorization.

100613225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Subtracting from 100613225100 its reverse (1522316001), we obtain a palindrome (99090909099).

The spelling of 100613225100 in words is "one hundred billion, six hundred thirteen million, two hundred twenty-five thousand, one hundred".