100101105100 has 72 divisors (see below), whose sum is σ = 233895498480. Its totient is φ = 37046353920.

The previous prime is 100101105043. The next prime is 100101105157. The reversal of 100101105100 is 1501101001.

It is an interprime number because it is at equal distance from previous prime (100101105043) and next prime (100101105157).

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 23 ways as a sum of consecutive naturals, for example, 398709 + ... + 599308.

It is an arithmetic number, because the mean of its divisors is an integer number (3248548590).

Almost surely, 2^100101105100 is an apocalyptic number.

100101105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101105100 is an abundant number, since it is smaller than the sum of its proper divisors (133794393380).

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

100101105100 is a wasteful number, since it uses less digits than its factorization.

100101105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998107 (or 998100 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 100101105100 its reverse (1501101001), we get a palindrome (101602206101).

The spelling of 100101105100 in words is "one hundred billion, one hundred one million, one hundred five thousand, one hundred".