102122112 has 64 divisors (see below), whose sum is σ = 285559200. Its totient is φ = 32246784.

The previous prime is 102122099. The next prime is 102122123. The reversal of 102122112 is 211221201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298 + ... + 14294.

Almost surely, 2^102122112 is an apocalyptic number.

102122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142779600).

102122112 is an abundant number, since it is smaller than the sum of its proper divisors (183437088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122112 is a wasteful number, since it uses less digits than its factorization.

102122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14033 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102122112 is about 10105.5485749167. The cubic root of 102122112 is about 467.4192518796.

Adding to 102122112 its reverse (211221201), we get a palindrome (313343313).

The spelling of 102122112 in words is "one hundred two million, one hundred twenty-two thousand, one hundred twelve".