102201000112 has 80 divisors (see below), whose sum is σ = 219013839360. Its totient is φ = 45953954816.

The previous prime is 102201000107. The next prime is 102201000131. The reversal of 102201000112 is 211000102201.

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, 6141339 + ... + 6157957.

It is an arithmetic number, because the mean of its divisors is an integer number (2737672992).

Almost surely, 2^102201000112 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 102201000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109506919680).

102201000112 is an abundant number, since it is smaller than the sum of its proper divisors (116812839248).

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

102201000112 is a wasteful number, since it uses less digits than its factorization.

102201000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17650 (or 17644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102201000112 its reverse (211000102201), we get a palindrome (313201102313).

The spelling of 102201000112 in words is "one hundred two billion, two hundred one million, one hundred twelve", and thus it is an aban number.