102221020122201 has 24 divisors (see below), whose sum is σ = 152182850653704. Its totient is φ = 66069563777280.

The previous prime is 102221020122197. The next prime is 102221020122253.

It is a happy number.

102221020122201 is a `hidden beast` number, since 10 + 22 + 210 + 201 + 2 + 220 + 1 = 666.

102221020122201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 45056850753600 + 57164169368601 = 6712440^2 + 7560699^2 .

It is not a de Polignac number, because 102221020122201 - 2² = 102221020122197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102221020121201) 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, 546116446 + ... + 546303591.

It is an arithmetic number, because the mean of its divisors is an integer number (6340952110571).

Almost surely, 2^{102221020122201} is an apocalyptic number.

It is an amenable number.

102221020122201 is a deficient number, since it is larger than the sum of its proper divisors (49961830531503).

102221020122201 is a wasteful number, since it uses less digits than its factorization.

102221020122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092420361 (or 1092420358 counting only the distinct ones).

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

The spelling of 102221020122201 in words is "one hundred two trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, two hundred one".