102112110201 has 16 divisors (see below), whose sum is σ = 136302084800. Its totient is φ = 67998486528.

The previous prime is 102112110179. The next prime is 102112110253. The reversal of 102112110201 is 102011211201.

It is not a de Polignac number, because 102112110201 - 2¹⁸ = 102111848057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112110301) 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, 12975870 + ... + 12983736.

It is an arithmetic number, because the mean of its divisors is an integer number (8518880300).

Almost surely, 2^102112110201 is an apocalyptic number.

It is an amenable number.

102112110201 is a deficient number, since it is larger than the sum of its proper divisors (34189974599).

102112110201 is a wasteful number, since it uses less digits than its factorization.

102112110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112110201 its reverse (102011211201), we get a palindrome (204123321402).

The spelling of 102112110201 in words is "one hundred two billion, one hundred twelve million, one hundred ten thousand, two hundred one".