2101010102100 has 216 divisors, whose sum is σ = 8105230398720. Its totient is φ = 443290026240.

The previous prime is 2101010102053. The next prime is 2101010102131. The reversal of 2101010102100 is 12010101012.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12744780 + ... + 12908579.

Almost surely, 2^{2101010102100} is an apocalyptic number.

2101010102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101010102100 is an abundant number, since it is smaller than the sum of its proper divisors (6004220296620).

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

2101010102100 is a wasteful number, since it uses less digits than its factorization.

2101010102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25653399 (or 25653389 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101010102100 its reverse (12010101012), we get a palindrome (2113020203112).

The spelling of 2101010102100 in words is "two trillion, one hundred one billion, ten million, one hundred two thousand, one hundred".