2122198756900 has 72 divisors (see below), whose sum is σ = 4654875950816. Its totient is φ = 839725747200.

The previous prime is 2122198756861. The next prime is 2122198756901. The reversal of 2122198756900 is 96578912212.

It is a super-2 number, since 2×2122198756900² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2122198756901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20619367 + ... + 20722033.

Almost surely, 2^{2122198756900} is an apocalyptic number.

2122198756900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122198756900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327437975408).

2122198756900 is an abundant number, since it is smaller than the sum of its proper divisors (2532677193916).

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

2122198756900 is a wasteful number, since it uses less digits than its factorization.

2122198756900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104909 (or 104902 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 2122198756900 in words is "two trillion, one hundred twenty-two billion, one hundred ninety-eight million, seven hundred fifty-six thousand, nine hundred".