102111112122201 has 256 divisors, whose sum is σ = 191247839354880. Its totient is φ = 52418027197440.

The previous prime is 102111112122199. The next prime is 102111112122209. The reversal of 102111112122201 is 102221211111201.

It is a happy number.

102111112122201 is a `hidden beast` number, since 10 + 211 + 1 + 11 + 212 + 220 + 1 = 666.

It is not a de Polignac number, because 102111112122201 - 2¹ = 102111112122199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102111112122209) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5545589671 + ... + 5545608083.

It is an arithmetic number, because the mean of its divisors is an integer number (747061872480).

Almost surely, 2^{102111112122201} is an apocalyptic number.

It is an amenable number.

102111112122201 is a deficient number, since it is larger than the sum of its proper divisors (89136727232679).

102111112122201 is a wasteful number, since it uses less digits than its factorization.

102111112122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18893 (or 18887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102111112122201 its reverse (102221211111201), we get a palindrome (204332323233402).

The spelling of 102111112122201 in words is "one hundred two trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, two hundred one".