100201000102100 has 36 divisors (see below), whose sum is σ = 220188526824000. Its totient is φ = 39573053201760.

The previous prime is 100201000102033. The next prime is 100201000102103. The reversal of 100201000102100 is 1201000102001.

It is a super-2 number, since 2×100201000102100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201000102103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6341827550 + ... + 6341843349.

Almost surely, 2^{100201000102100} is an apocalyptic number.

100201000102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201000102100 is an abundant number, since it is smaller than the sum of its proper divisors (119987526721900).

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

100201000102100 is a wasteful number, since it uses less digits than its factorization.

100201000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683670992 (or 12683670985 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201000102100 its reverse (1201000102001), we get a palindrome (101402000204101).

Subtracting from 100201000102100 its reverse (1201000102001), we obtain a palindrome (99000000000099).

The spelling of 100201000102100 in words is "one hundred trillion, two hundred one billion, one hundred two thousand, one hundred".