102112010112101 has 16 divisors (see below), whose sum is σ = 115285519071360. Its totient is φ = 89589678467520.

The previous prime is 102112010112083. The next prime is 102112010112113. The reversal of 102112010112101 is 101211010211201.

It is not a de Polignac number, because 102112010112101 - 2³⁰ = 102110936370277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112010112901) 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, 67858505 + ... + 69346958.

It is an arithmetic number, because the mean of its divisors is an integer number (7205344941960).

Almost surely, 2^{102112010112101} is an apocalyptic number.

102112010112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112010112101 is a deficient number, since it is larger than the sum of its proper divisors (13173508959259).

102112010112101 is a wasteful number, since it uses less digits than its factorization.

102112010112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137207836.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102112010112101 its reverse (101211010211201), we get a palindrome (203323020323302).

The spelling of 102112010112101 in words is "one hundred two trillion, one hundred twelve billion, ten million, one hundred twelve thousand, one hundred one".