100102001100 has 72 divisors (see below), whose sum is σ = 290554059600. Its totient is φ = 26608558080.

The previous prime is 100102001099. The next prime is 100102001101. The reversal of 100102001100 is 1100201001.

It is an interprime number because it is at equal distance from previous prime (100102001099) and next prime (100102001101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100102001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439125 + ... + 626924.

It is an arithmetic number, because the mean of its divisors is an integer number (4035473050).

Almost surely, 2^100102001100 is an apocalyptic number.

100102001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102001100 is an abundant number, since it is smaller than the sum of its proper divisors (190452058500).

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

100102001100 is a wasteful number, since it uses less digits than its factorization.

100102001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066379 (or 1066372 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100102001100 its reverse (1100201001), we get a palindrome (101202202101).

The spelling of 100102001100 in words is "one hundred billion, one hundred two million, one thousand, one hundred".