2101010020100 has 18 divisors (see below), whose sum is σ = 4559191743834. Its totient is φ = 840404008000.

The previous prime is 2101010020013. The next prime is 2101010020147. The reversal of 2101010020100 is 10200101012.

It can be written as a sum of positive squares in 3 ways, for example, as 354082122304 + 1746927897796 = 595048^2 + 1321714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10505050001 + ... + 10505050200.

It is an arithmetic number, because the mean of its divisors is an integer number (253288430213).

Almost surely, 2^{2101010020100} is an apocalyptic number.

2101010020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101010020100 is an abundant number, since it is smaller than the sum of its proper divisors (2458181723734).

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

2101010020100 is a wasteful number, since it uses less digits than its factorization.

2101010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21010100215 (or 21010100208 counting only the distinct ones).

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

Adding to 2101010020100 its reverse (10200101012), we get a palindrome (2111210121112).

The spelling of 2101010020100 in words is "two trillion, one hundred one billion, ten million, twenty thousand, one hundred".