22101331120101 has 64 divisors (see below), whose sum is σ = 33295933440000. Its totient is φ = 14487435942336.

The previous prime is 22101331120087. The next prime is 22101331120103. The reversal of 22101331120101 is 10102113310122.

22101331120101 is a `hidden beast` number, since 2 + 210 + 1 + 331 + 1 + 20 + 101 = 666.

It is not a de Polignac number, because 22101331120101 - 2⁹ = 22101331119589 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 (22101331120103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1001000380 + ... + 1001022458.

It is an arithmetic number, because the mean of its divisors is an integer number (520248960000).

Almost surely, 2^{22101331120101} is an apocalyptic number.

It is an amenable number.

22101331120101 is a deficient number, since it is larger than the sum of its proper divisors (11194602319899).

22101331120101 is a wasteful number, since it uses less digits than its factorization.

22101331120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24783 (or 24777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 22101331120101 its reverse (10102113310122), we get a palindrome (32203444430223).

The spelling of 22101331120101 in words is "twenty-two trillion, one hundred one billion, three hundred thirty-one million, one hundred twenty thousand, one hundred one".