102122002221201 has 10 divisors (see below), whose sum is σ = 152552620602162. Its totient is φ = 68081334814080.

The previous prime is 102122002221193. The next prime is 102122002221247. The reversal of 102122002221201 is 102122200221201.

It is a happy number.

102122002221201 is a `hidden beast` number, since 1 + 0 + 21 + 220 + 0 + 2 + 221 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95757986931201 + 6364015290000 = 9785601^2 + 2522700^2 .

It is not a de Polignac number, because 102122002221201 - 2³ = 102122002221193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122002228201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 630382729680 + ... + 630382729841.

Almost surely, 2^{102122002221201} is an apocalyptic number.

It is an amenable number.

102122002221201 is a deficient number, since it is larger than the sum of its proper divisors (50430618380961).

102122002221201 is an equidigital number, since it uses as much as digits as its factorization.

102122002221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260765459533 (or 1260765459524 counting only the distinct ones).

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

Adding to 102122002221201 its reverse (102122200221201), we get a palindrome (204244202442402).

The spelling of 102122002221201 in words is "one hundred two trillion, one hundred twenty-two billion, two million, two hundred twenty-one thousand, two hundred one".