102120112022201 has 16 divisors (see below), whose sum is σ = 125691718139904. Its totient is φ = 80794841978304.

The previous prime is 102120112022143. The next prime is 102120112022239. The reversal of 102120112022201 is 102220211021201.

It is a cyclic number.

It is not a de Polignac number, because 102120112022201 - 2¹⁰ = 102120112021177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102120112022201.

It is not an unprimeable number, because it can be changed into a prime (102120112022501) 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 15 ways as a sum of consecutive naturals, for example, 22104761 + ... + 26322246.

It is an arithmetic number, because the mean of its divisors is an integer number (7855732383744).

Almost surely, 2^{102120112022201} is an apocalyptic number.

It is an amenable number.

102120112022201 is a deficient number, since it is larger than the sum of its proper divisors (23571606117703).

102120112022201 is a wasteful number, since it uses less digits than its factorization.

102120112022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48450200.

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

Adding to 102120112022201 its reverse (102220211021201), we get a palindrome (204340323043402).

The spelling of 102120112022201 in words is "one hundred two trillion, one hundred twenty billion, one hundred twelve million, twenty-two thousand, two hundred one".