22100010222001 has 16 divisors (see below), whose sum is σ = 23095706936400. Its totient is φ = 21128687769600.

The previous prime is 22100010221977. The next prime is 22100010222013. The reversal of 22100010222001 is 10022201000122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13101504160000 + 8998506062001 = 3619600^2 + 2999751^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100010222001 - 2⁵ = 22100010221969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22100010226001) 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, 15751896 + ... + 17097433.

It is an arithmetic number, because the mean of its divisors is an integer number (1443481683525).

Almost surely, 2^{22100010222001} is an apocalyptic number.

It is an amenable number.

22100010222001 is a deficient number, since it is larger than the sum of its proper divisors (995696714399).

22100010222001 is a wasteful number, since it uses less digits than its factorization.

22100010222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32849700.

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

Adding to 22100010222001 its reverse (10022201000122), we get a palindrome (32122211222123).

The spelling of 22100010222001 in words is "twenty-two trillion, one hundred billion, ten million, two hundred twenty-two thousand, one".