102221122022001 has 24 divisors (see below), whose sum is σ = 148389918600456. Its totient is φ = 67807582848000.

The previous prime is 102221122021987. The next prime is 102221122022021. The reversal of 102221122022001 is 100220221122201.

It is a happy number.

102221122022001 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 1 + 220 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 475086240225 + 101746035781776 = 689265^2 + 10086924^2 .

It is not a de Polignac number, because 102221122022001 - 2⁵ = 102221122021969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102221122022021) 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, 14003500 + ... + 20013501.

It is an arithmetic number, because the mean of its divisors is an integer number (6182913275019).

Almost surely, 2^{102221122022001} is an apocalyptic number.

It is an amenable number.

102221122022001 is a deficient number, since it is larger than the sum of its proper divisors (46168796578455).

102221122022001 is a wasteful number, since it uses less digits than its factorization.

102221122022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34018673 (or 34018670 counting only the distinct ones).

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

Adding to 102221122022001 its reverse (100220221122201), we get a palindrome (202441343144202).

The spelling of 102221122022001 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty-two thousand, one".