102122120210201 has 24 divisors (see below), whose sum is σ = 131053527657864. Its totient is φ = 78829189528320.

The previous prime is 102122120210197. The next prime is 102122120210203. The reversal of 102122120210201 is 102012021221201.

It can be written as a sum of positive squares in 4 ways, for example, as 96444408025 + 102025675802176 = 310555^2 + 10100776^2 .

It is not a de Polignac number, because 102122120210201 - 2² = 102122120210197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102122120210201.

It is not an unprimeable number, because it can be changed into a prime (102122120210203) 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 23 ways as a sum of consecutive naturals, for example, 1955062910 + ... + 1955115143.

It is an arithmetic number, because the mean of its divisors is an integer number (5460563652411).

Almost surely, 2^{102122120210201} is an apocalyptic number.

It is an amenable number.

102122120210201 is a deficient number, since it is larger than the sum of its proper divisors (28931407447663).

102122120210201 is a wasteful number, since it uses less digits than its factorization.

102122120210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910178121 (or 3910178114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102122120210201 its reverse (102012021221201), we get a palindrome (204134141431402).

The spelling of 102122120210201 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred ten thousand, two hundred one".