102211122122001 has 24 divisors (see below), whose sum is σ = 156879201949704. Its totient is φ = 63904239329280.

The previous prime is 102211122121939. The next prime is 102211122122027. The reversal of 102211122122001 is 100221221112201.

102211122122001 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 1 + 221 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65853225000000 + 36357897122001 = 8115000^2 + 6029751^2 .

It is not a de Polignac number, because 102211122122001 - 2⁷ = 102211122121873 is a prime.

It is a super-2 number, since 2×102211122122001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102211122122041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1188651936 + ... + 1188737921.

It is an arithmetic number, because the mean of its divisors is an integer number (6536633414571).

Almost surely, 2^{102211122122001} is an apocalyptic number.

It is an amenable number.

102211122122001 is a deficient number, since it is larger than the sum of its proper divisors (54668079827703).

102211122122001 is a wasteful number, since it uses less digits than its factorization.

102211122122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377390161 (or 2377390158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102211122122001 its reverse (100221221112201), we get a palindrome (202432343234202).

The spelling of 102211122122001 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one".