102221122020001 has 32 divisors (see below), whose sum is σ = 104371026832800. Its totient is φ = 100098707005440.

The previous prime is 102221122019987. The next prime is 102221122020007. The reversal of 102221122020001 is 100020221122201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 82094907269376 + 20126214750625 = 9060624^2 + 4486225^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221122020001 - 2³⁷ = 102083683066529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221122020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5692541115 + ... + 5692559071.

It is an arithmetic number, because the mean of its divisors is an integer number (3261594588525).

Almost surely, 2^{102221122020001} is an apocalyptic number.

It is an amenable number.

102221122020001 is a deficient number, since it is larger than the sum of its proper divisors (2149904812799).

102221122020001 is a wasteful number, since it uses less digits than its factorization.

102221122020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19669.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102221122020001 its reverse (100020221122201), we get a palindrome (202241343142202).

The spelling of 102221122020001 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty thousand, one".