102112122101 has 4 divisors (see below), whose sum is σ = 111395042304. Its totient is φ = 92829201900.

The previous prime is 102112121999. The next prime is 102112122107. The reversal of 102112122101 is 101221211201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112122101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112122107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4641460085 + ... + 4641460106.

It is an arithmetic number, because the mean of its divisors is an integer number (27848760576).

Almost surely, 2^102112122101 is an apocalyptic number.

102112122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112122101 is a deficient number, since it is larger than the sum of its proper divisors (9282920203).

102112122101 is an equidigital number, since it uses as much as digits as its factorization.

102112122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9282920202.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112122101 its reverse (101221211201), we get a palindrome (203333333302).

It can be divided in two parts, 10211 and 2122101, that added together give a palindrome (2132312).

The spelling of 102112122101 in words is "one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred one".