100102001000100 has 144 divisors (see below), whose sum is σ = 315969501032640. Its totient is φ = 24266292684800.

The previous prime is 100102001000039. The next prime is 100102001000107. The reversal of 100102001000100 is 1000100201001.

100102001000100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (100102001000107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95286496 + ... + 96331304.

It is an arithmetic number, because the mean of its divisors is an integer number (2194232646060).

Almost surely, 2^{100102001000100} is an apocalyptic number.

100102001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102001000100 is an abundant number, since it is smaller than the sum of its proper divisors (215867500032540).

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

100102001000100 is a wasteful number, since it uses less digits than its factorization.

100102001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073870 (or 1073863 counting only the distinct ones).

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

Adding to 100102001000100 its reverse (1000100201001), we get a palindrome (101102101201101).

The spelling of 100102001000100 in words is "one hundred trillion, one hundred two billion, one million, one hundred", and thus it is an aban number.