2120022000100 has 36 divisors (see below), whose sum is σ = 4759083875700. Its totient is φ = 818767116160.

The previous prime is 2120021999969. The next prime is 2120022000119. The reversal of 2120022000100 is 10002200212.

It can be written as a sum of positive squares in 6 ways, for example, as 469367490816 + 1650654509284 = 685104^2 + 1284778^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365518135 + ... + 365523934.

It is an arithmetic number, because the mean of its divisors is an integer number (132196774325).

Almost surely, 2^{2120022000100} is an apocalyptic number.

2120022000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120022000100 is an abundant number, since it is smaller than the sum of its proper divisors (2639061875600).

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

2120022000100 is a wasteful number, since it uses less digits than its factorization.

2120022000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731042112 (or 731042105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2120022000100 its reverse (10002200212), we get a palindrome (2130024200312).

The spelling of 2120022000100 in words is "two trillion, one hundred twenty billion, twenty-two million, one hundred", and thus it is an aban number.