102022212202201 has 16 divisors (see below), whose sum is σ = 102819600373968. Its totient is φ = 101227659264000.

The previous prime is 102022212202177. The next prime is 102022212202241. The reversal of 102022212202201 is 102202212220201.

It can be written as a sum of positive squares in 8 ways, for example, as 13766333510601 + 88255878691600 = 3710301^2 + 9394460^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022212202201 - 2⁷ = 102022212202073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102022212202241) 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 in 15 ways as a sum of consecutive naturals, for example, 642050281 + ... + 642209161.

It is an arithmetic number, because the mean of its divisors is an integer number (6426225023373).

Almost surely, 2^{102022212202201} is an apocalyptic number.

It is an amenable number.

102022212202201 is a deficient number, since it is larger than the sum of its proper divisors (797388171767).

102022212202201 is a wasteful number, since it uses less digits than its factorization.

102022212202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167772.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102022212202201 its reverse (102202212220201), we get a palindrome (204224424422402).

The spelling of 102022212202201 in words is "one hundred two trillion, twenty-two billion, two hundred twelve million, two hundred two thousand, two hundred one".