102220100112 has 160 divisors (see below), whose sum is σ = 292588578688. Its totient is φ = 30557564928.

The previous prime is 102220100089. The next prime is 102220100137. The reversal of 102220100112 is 211001022201.

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 31 ways as a sum of consecutive naturals, for example, 3035238 + ... + 3068730.

Almost surely, 2^102220100112 is an apocalyptic number.

102220100112 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 102220100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146294289344).

102220100112 is an abundant number, since it is smaller than the sum of its proper divisors (190368478576).

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

102220100112 is a wasteful number, since it uses less digits than its factorization.

102220100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33657 (or 33651 counting only the distinct ones).

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

Adding to 102220100112 its reverse (211001022201), we get a palindrome (313221122313).

The spelling of 102220100112 in words is "one hundred two billion, two hundred twenty million, one hundred thousand, one hundred twelve".