2102010202100 has 72 divisors (see below), whose sum is σ = 4805158596000. Its totient is φ = 795933302400.

The previous prime is 2102010202037. The next prime is 2102010202109. The reversal of 2102010202100 is 12020102012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102010202109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2024426 + ... + 2881374.

Almost surely, 2^{2102010202100} is an apocalyptic number.

2102010202100 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 2102010202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402579298000).

2102010202100 is an abundant number, since it is smaller than the sum of its proper divisors (2703148393900).

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

2102010202100 is a wasteful number, since it uses less digits than its factorization.

2102010202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858273 (or 858266 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2102010202100 its reverse (12020102012), we get a palindrome (2114030304112).

The spelling of 2102010202100 in words is "two trillion, one hundred two billion, ten million, two hundred two thousand, one hundred".