102210000112 has 80 divisors (see below), whose sum is σ = 222124783104. Its totient is φ = 45157824000.

The previous prime is 102210000089. The next prime is 102210000119. The reversal of 102210000112 is 211000012201.

102210000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210000119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929403 + ... + 1981669.

Almost surely, 2^102210000112 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 102210000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111062391552).

102210000112 is an abundant number, since it is smaller than the sum of its proper divisors (119914782992).

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

102210000112 is a wasteful number, since it uses less digits than its factorization.

102210000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52598 (or 52592 counting only the distinct ones).

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

Adding to 102210000112 its reverse (211000012201), we get a palindrome (313210012313).

It can be divided in two parts, 10 and 2210000112, that added together give a palindrome (2210000122).

The spelling of 102210000112 in words is "one hundred two billion, two hundred ten million, one hundred twelve", and thus it is an aban number.