102122010112 has 80 divisors (see below), whose sum is σ = 207193738752. Its totient is φ = 50277099520.

The previous prime is 102122010101. The next prime is 102122010143. The reversal of 102122010112 is 211010221201.

It is a junction number, because it is equal to n+sod(n) for n = 102122010092 and 102122010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13212393 + ... + 13220119.

Almost surely, 2^102122010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103596869376).

102122010112 is an abundant number, since it is smaller than the sum of its proper divisors (105071728640).

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

102122010112 is an frugal number, since it uses more digits than its factorization.

102122010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102122010112 its reverse (211010221201), we get a palindrome (313132231313).

The spelling of 102122010112 in words is "one hundred two billion, one hundred twenty-two million, ten thousand, one hundred twelve".