102112122111201 has 16 divisors (see below), whose sum is σ = 159239176782400. Its totient is φ = 64491866596224.

The previous prime is 102112122111199. The next prime is 102112122111217. The reversal of 102112122111201 is 102111221211201.

It is a happy number.

102112122111201 is a `hidden beast` number, since 1 + 0 + 211 + 21 + 221 + 11 + 201 = 666.

It is not a de Polignac number, because 102112122111201 - 2¹ = 102112122111199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112122111221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99524484976 + ... + 99524486001.

It is an arithmetic number, because the mean of its divisors is an integer number (9952448548900).

Almost surely, 2^{102112122111201} is an apocalyptic number.

It is an amenable number.

102112122111201 is a deficient number, since it is larger than the sum of its proper divisors (57127054671199).

102112122111201 is a wasteful number, since it uses less digits than its factorization.

102112122111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199048971005 (or 199048970999 counting only the distinct ones).

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

Adding to 102112122111201 its reverse (102111221211201), we get a palindrome (204223343322402).

The spelling of 102112122111201 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".