102122121102201 has 32 divisors (see below), whose sum is σ = 152087084083200. Its totient is φ = 67723654124160.

The previous prime is 102122121102163. The next prime is 102122121102241. The reversal of 102122121102201 is 102201121221201.

102122121102201 is a `hidden beast` number, since 1 + 0 + 212 + 21 + 211 + 0 + 220 + 1 = 666.

It is not a de Polignac number, because 102122121102201 - 2¹³ = 102122121094009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122121102241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316566255 + ... + 316888683.

It is an arithmetic number, because the mean of its divisors is an integer number (4752721377600).

Almost surely, 2^{102122121102201} is an apocalyptic number.

It is an amenable number.

102122121102201 is a deficient number, since it is larger than the sum of its proper divisors (49964962980999).

102122121102201 is a wasteful number, since it uses less digits than its factorization.

102122121102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384046 (or 384040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122121102201 its reverse (102201121221201), we get a palindrome (204323242323402).

The spelling of 102122121102201 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, two hundred one".