2102022212100 has 36 divisors (see below), whose sum is σ = 6081850934544. Its totient is φ = 560539256480.

The previous prime is 2102022212041. The next prime is 2102022212117. The reversal of 2102022212100 is 12122202012.

It is a super-3 number, since 3×2102022212100³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102022212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3503370054 + ... + 3503370653.

Almost surely, 2^{2102022212100} is an apocalyptic number.

2102022212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102022212100 is an abundant number, since it is smaller than the sum of its proper divisors (3979828722444).

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

2102022212100 is a wasteful number, since it uses less digits than its factorization.

2102022212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006740724 (or 7006740717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2102022212100 its reverse (12122202012), we get a palindrome (2114144414112).

The spelling of 2102022212100 in words is "two trillion, one hundred two billion, twenty-two million, two hundred twelve thousand, one hundred".