100102201101100 has 72 divisors (see below), whose sum is σ = 236974607654400. Its totient is φ = 36399971361600.

The previous prime is 100102201101073. The next prime is 100102201101151. The reversal of 100102201101100 is 1101102201001.

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, 48353041 + ... + 50380759.

It is an arithmetic number, because the mean of its divisors is an integer number (3291313995200).

Almost surely, 2^{100102201101100} is an apocalyptic number.

100102201101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102201101100 is an abundant number, since it is smaller than the sum of its proper divisors (136872406553300).

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

100102201101100 is a wasteful number, since it uses less digits than its factorization.

100102201101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072623 (or 2072616 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102201101100 its reverse (1101102201001), we get a palindrome (101203303302101).

The spelling of 100102201101100 in words is "one hundred trillion, one hundred two billion, two hundred one million, one hundred one thousand, one hundred".