10202022112200 has 96 divisors (see below), whose sum is σ = 31626857700960. Its totient is φ = 2720488550400.

The previous prime is 10202022112169. The next prime is 10202022112201. The reversal of 10202022112200 is 221122020201.

It is a super-4 number, since 4×10202022112200⁴ (a number of 53 digits) contains 4444 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 10202022112200.

It is not an unprimeable number, because it can be changed into a prime (10202022112201) 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, 40970472 + ... + 41218728.

It is an arithmetic number, because the mean of its divisors is an integer number (329446434385).

Almost surely, 2^{10202022112200} is an apocalyptic number.

10202022112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202022112200 is an abundant number, since it is smaller than the sum of its proper divisors (21424835588760).

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

10202022112200 is a wasteful number, since it uses less digits than its factorization.

10202022112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316767 (or 316758 counting only the distinct ones).

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

Adding to 10202022112200 its reverse (221122020201), we get a palindrome (10423144132401).

The spelling of 10202022112200 in words is "ten trillion, two hundred two billion, twenty-two million, one hundred twelve thousand, two hundred".