100201222212272 has 40 divisors (see below), whose sum is σ = 207821446641600. Its totient is φ = 46659266713152.

The previous prime is 100201222212271. The next prime is 100201222212281. The reversal of 100201222212272 is 272212222102001.

It is a super-2 number, since 2×100201222212272² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201222212271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2793281078 + ... + 2793316949.

It is an arithmetic number, because the mean of its divisors is an integer number (5195536166040).

Almost surely, 2^{100201222212272} is an apocalyptic number.

It is an amenable number.

100201222212272 is an abundant number, since it is smaller than the sum of its proper divisors (107620224429328).

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

100201222212272 is a wasteful number, since it uses less digits than its factorization.

100201222212272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586598113 (or 5586598107 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 100201222212272 its reverse (272212222102001), we get a palindrome (372413444314273).

The spelling of 100201222212272 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred seventy-two".