202100013102 has 64 divisors (see below), whose sum is σ = 442325399040. Its totient is φ = 61182152064.

The previous prime is 202100012911. The next prime is 202100013107. The reversal of 202100013102 is 201310001202.

202100013102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4361568 + ... + 4407660.

It is an arithmetic number, because the mean of its divisors is an integer number (6911334360).

Almost surely, 2^202100013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202100013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221162699520).

202100013102 is an abundant number, since it is smaller than the sum of its proper divisors (240225385938).

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

202100013102 is a wasteful number, since it uses less digits than its factorization.

202100013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47017.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 202100013102 its reverse (201310001202), we get a palindrome (403410014304).

The spelling of 202100013102 in words is "two hundred two billion, one hundred million, thirteen thousand, one hundred two".