22222122100101 has 160 divisors (see below), whose sum is σ = 41557826838528. Its totient is φ = 11496426111360.

The previous prime is 22222122100097. The next prime is 22222122100147. The reversal of 22222122100101 is 10100122122222.

It is a happy number.

22222122100101 is a `hidden beast` number, since 222 + 221 + 2 + 210 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 22222122100101 - 2² = 22222122100097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222122100901) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4725092716 + ... + 4725097418.

Almost surely, 2^{22222122100101} is an apocalyptic number.

22222122100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22222122100101 is a deficient number, since it is larger than the sum of its proper divisors (19335704738427).

22222122100101 is a wasteful number, since it uses less digits than its factorization.

22222122100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22222122100101 its reverse (10100122122222), we get a palindrome (32322244222323).

It can be divided in two parts, 222221 and 22100101, that added together give a palindrome (22322322).

The spelling of 22222122100101 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred one".