102202002101112 has 256 divisors, whose sum is σ = 285919240089600. Its totient is φ = 30275928883200.

The previous prime is 102202002101081. The next prime is 102202002101113. The reversal of 102202002101112 is 211101200202201.

It is a junction number, because it is equal to n+sod(n) for n = 102202002101091 and 102202002101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202002101113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8241426112 + ... + 8241438512.

It is an arithmetic number, because the mean of its divisors is an integer number (1116872031600).

Almost surely, 2^{102202002101112} is an apocalyptic number.

102202002101112 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 102202002101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142959620044800).

102202002101112 is an abundant number, since it is smaller than the sum of its proper divisors (183717237988488).

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

102202002101112 is a wasteful number, since it uses less digits than its factorization.

102202002101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23646 (or 23642 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102202002101112 its reverse (211101200202201), we get a palindrome (313303202303313).

The spelling of 102202002101112 in words is "one hundred two trillion, two hundred two billion, two million, one hundred one thousand, one hundred twelve".