102102020112112 has 80 divisors (see below), whose sum is σ = 207849849758208. Its totient is φ = 48494481235200.

The previous prime is 102102020112049. The next prime is 102102020112137. The reversal of 102102020112112 is 211211020201201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 77385013 + ... + 78693355.

Almost surely, 2^{102102020112112} 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 102102020112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103924924879104).

102102020112112 is an abundant number, since it is smaller than the sum of its proper divisors (105747829646096).

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

102102020112112 is a wasteful number, since it uses less digits than its factorization.

102102020112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309838 (or 1309832 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102102020112112 its reverse (211211020201201), we get a palindrome (313313040313313).

The spelling of 102102020112112 in words is "one hundred two trillion, one hundred two billion, twenty million, one hundred twelve thousand, one hundred twelve".