102010112112210 has 128 divisors (see below), whose sum is σ = 262007035305984. Its totient is φ = 25328980131840.

The previous prime is 102010112112199. The next prime is 102010112112239. The reversal of 102010112112210 is 12211211010201.

It is a happy number.

102010112112210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102010112112210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20632990 + ... + 25094630.

It is an arithmetic number, because the mean of its divisors is an integer number (2046929963328).

Almost surely, 2^{102010112112210} is an apocalyptic number.

102010112112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010112112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131003517652992).

102010112112210 is an abundant number, since it is smaller than the sum of its proper divisors (159996923193774).

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

102010112112210 is a wasteful number, since it uses less digits than its factorization.

102010112112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462148.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102010112112210 its reverse (12211211010201), we get a palindrome (114221323122411).

The spelling of 102010112112210 in words is "one hundred two trillion, ten billion, one hundred twelve million, one hundred twelve thousand, two hundred ten".