102122122200201 has 6 divisors (see below), whose sum is σ = 147509732066970. Its totient is φ = 68081414800128.

The previous prime is 102122122200089. The next prime is 102122122200233. The reversal of 102122122200201 is 102002221221201.

It is a happy number.

102122122200201 is a `hidden beast` number, since 1 + 0 + 21 + 221 + 2 + 220 + 0 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74436793160976 + 27685329039225 = 8627676^2 + 5261685^2 .

It is not a de Polignac number, because 102122122200201 - 2¹³ = 102122122192009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122122200281) 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 5 ways as a sum of consecutive naturals, for example, 5673451233336 + ... + 5673451233353.

It is an arithmetic number, because the mean of its divisors is an integer number (24584955344495).

Almost surely, 2^{102122122200201} is an apocalyptic number.

It is an amenable number.

102122122200201 is a deficient number, since it is larger than the sum of its proper divisors (45387609866769).

102122122200201 is a wasteful number, since it uses less digits than its factorization.

102122122200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346902466695 (or 11346902466692 counting only the distinct ones).

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

Adding to 102122122200201 its reverse (102002221221201), we get a palindrome (204124343421402).

The spelling of 102122122200201 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, two hundred one".