22101020122000 has 80 divisors (see below), whose sum is σ = 53493026017392. Its totient is φ = 8831680281600.

The previous prime is 22101020121991. The next prime is 22101020122003. The reversal of 22101020122000 is 22102010122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10106905706496 + 11994114415504 = 3179136^2 + 3463252^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22101020122003) 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, 3428349 + ... + 7480348.

Almost surely, 2^{22101020122000} is an apocalyptic number.

22101020122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101020122000 is an abundant number, since it is smaller than the sum of its proper divisors (31392005895392).

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

22101020122000 is a wasteful number, since it uses less digits than its factorization.

22101020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909733 (or 10909717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22101020122000 its reverse (22102010122), we get a palindrome (22123122132122).

The spelling of 22101020122000 in words is "twenty-two trillion, one hundred one billion, twenty million, one hundred twenty-two thousand".