2101002020100 has 54 divisors (see below), whose sum is σ = 6585474112490. Its totient is φ = 560267205120.

The previous prime is 2101002020083. The next prime is 2101002020123. The reversal of 2101002020100 is 10202001012.

It can be written as a sum of positive squares in 3 ways, for example, as 24999404544 + 2076002615556 = 158112^2 + 1440834^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1167222445 + ... + 1167224244.

Almost surely, 2^{2101002020100} is an apocalyptic number.

2101002020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101002020100 is an abundant number, since it is smaller than the sum of its proper divisors (4484472092390).

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

2101002020100 is a wasteful number, since it uses less digits than its factorization.

2101002020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334446709 (or 2334446699 counting only the distinct ones).

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

Adding to 2101002020100 its reverse (10202001012), we get a palindrome (2111204021112).

The spelling of 2101002020100 in words is "two trillion, one hundred one billion, two million, twenty thousand, one hundred".