102201022212001 has 2 divisors, whose sum is σ = 102201022212002. Its totient is φ = 102201022212000.

The previous prime is 102201022211927. The next prime is 102201022212077. The reversal of 102201022212001 is 100212220102201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98219496830625 + 3981525381376 = 9910575^2 + 1995376^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201022212001 - 2¹⁵ = 102201022179233 is a prime.

It is not a weakly prime, because it can be changed into another prime (102201022215001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100511106000 + 51100511106001.

It is an arithmetic number, because the mean of its divisors is an integer number (51100511106001).

Almost surely, 2^{102201022212001} is an apocalyptic number.

It is an amenable number.

102201022212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201022212001 is an equidigital number, since it uses as much as digits as its factorization.

102201022212001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102201022212001 its reverse (100212220102201), we get a palindrome (202413242314202).

The spelling of 102201022212001 in words is "one hundred two trillion, two hundred one billion, twenty-two million, two hundred twelve thousand, one".