22101202100952 has 128 divisors (see below), whose sum is σ = 69594428736000. Its totient is φ = 6442455657600.

The previous prime is 22101202100909. The next prime is 22101202100953. The reversal of 22101202100952 is 25900120210122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101202100953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207072924 + ... + 207179627.

It is an arithmetic number, because the mean of its divisors is an integer number (543706474500).

Almost surely, 2^{22101202100952} is an apocalyptic number.

It is an amenable number.

22101202100952 is an abundant number, since it is smaller than the sum of its proper divisors (47493226635048).

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

22101202100952 is a wasteful number, since it uses less digits than its factorization.

22101202100952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414252598 (or 414252588 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 22101202100952 in words is "twenty-two trillion, one hundred one billion, two hundred two million, one hundred thousand, nine hundred fifty-two".