201000202100100 has 432 divisors, whose sum is σ = 702764764176384. Its totient is φ = 47717500032000.

The previous prime is 201000202100099. The next prime is 201000202100123. The reversal of 201000202100100 is 1001202000102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105325405 + ... + 107216795.

Almost surely, 2^{201000202100100} is an apocalyptic number.

201000202100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000202100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351382382088192).

201000202100100 is an abundant number, since it is smaller than the sum of its proper divisors (501764562076284).

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

201000202100100 is a wasteful number, since it uses less digits than its factorization.

201000202100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891748 (or 1891738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000202100100 its reverse (1001202000102), we get a palindrome (202001404100202).

The spelling of 201000202100100 in words is "two hundred one trillion, two hundred two million, one hundred thousand, one hundred".