102211122112 has 112 divisors (see below), whose sum is σ = 224924550912. Its totient is φ = 45693204480.

The previous prime is 102211122109. The next prime is 102211122127. The reversal of 102211122112 is 211221112201.

It is a super-2 number, since 2×102211122112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38817948 + ... + 38820580.

Almost surely, 2^102211122112 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 102211122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112462275456).

102211122112 is an abundant number, since it is smaller than the sum of its proper divisors (122713428800).

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

102211122112 is a wasteful number, since it uses less digits than its factorization.

102211122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102211122112 its reverse (211221112201), we get a palindrome (313432234313).

The spelling of 102211122112 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".