2100100102100 has 576 divisors, whose sum is σ = 6359652956160. Its totient is φ = 580637030400.

The previous prime is 2100100102097. The next prime is 2100100102109. The reversal of 2100100102100 is 12010010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100102109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 658956707 + ... + 658959893.

It is an arithmetic number, because the mean of its divisors is an integer number (11041064160).

Almost surely, 2^{2100100102100} is an apocalyptic number.

2100100102100 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 2100100102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179826478080).

2100100102100 is an abundant number, since it is smaller than the sum of its proper divisors (4259552854060).

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

2100100102100 is a wasteful number, since it uses less digits than its factorization.

2100100102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3481 counting only the distinct ones).

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

Adding to 2100100102100 its reverse (12010010012), we get a palindrome (2112110112112).

The spelling of 2100100102100 in words is "two trillion, one hundred billion, one hundred million, one hundred two thousand, one hundred".