102202222100112 has 180 divisors, whose sum is σ = 288427795128252. Its totient is φ = 33783487296000.

The previous prime is 102202222100029. The next prime is 102202222100117. The reversal of 102202222100112 is 211001222202201.

It is a happy number.

102202222100112 is a `hidden beast` number, since 1 + 0 + 220 + 222 + 210 + 0 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68060124020736 + 34142098079376 = 8249856^2 + 5843124^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102202222100117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3689463862 + ... + 3689491562.

Almost surely, 2^{102202222100112} is an apocalyptic number.

102202222100112 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 102202222100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144213897564126).

102202222100112 is an abundant number, since it is smaller than the sum of its proper divisors (186225573028140).

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

102202222100112 is a wasteful number, since it uses less digits than its factorization.

102202222100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29470 (or 29330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202222100112 its reverse (211001222202201), we get a palindrome (313203444302313).

The spelling of 102202222100112 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".