202100304001100 has 144 divisors (see below), whose sum is σ = 445218460194816. Its totient is φ = 79618659648000.

The previous prime is 202100304001069. The next prime is 202100304001159. The reversal of 202100304001100 is 1100403001202.

202100304001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4725591917 + ... + 4725634683.

It is an arithmetic number, because the mean of its divisors is an integer number (3091794862464).

Almost surely, 2^{202100304001100} is an apocalyptic number.

202100304001100 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 202100304001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222609230097408).

202100304001100 is an abundant number, since it is smaller than the sum of its proper divisors (243118156193716).

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

202100304001100 is a wasteful number, since it uses less digits than its factorization.

202100304001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44616 (or 44609 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 202100304001100 its reverse (1100403001202), we get a palindrome (203200707002302).

The spelling of 202100304001100 in words is "two hundred two trillion, one hundred billion, three hundred four million, one thousand, one hundred".