22022022102000 has 80 divisors (see below), whose sum is σ = 70998999276192. Its totient is φ = 5872539225600.

The previous prime is 22022022101977. The next prime is 22022022102001. The reversal of 22022022102000 is 20122022022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22022022102000³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022022102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835162509 + ... + 1835174508.

Almost surely, 2^{22022022102000} is an apocalyptic number.

22022022102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022022102000 is an abundant number, since it is smaller than the sum of its proper divisors (48976977174192).

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

22022022102000 is a wasteful number, since it uses less digits than its factorization.

22022022102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670337043 (or 3670337027 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22022022102000 its reverse (20122022022), we get a palindrome (22042144124022).

The spelling of 22022022102000 in words is "twenty-two trillion, twenty-two billion, twenty-two million, one hundred two thousand".