102112122110220 has 144 divisors (see below), whose sum is σ = 318140313647520. Its totient is φ = 26491552754688.

The previous prime is 102112122110171. The next prime is 102112122110263. The reversal of 102112122110220 is 22011221211201.

102112122110220 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 212 + 211 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102112122110193 and 102112122110202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73322751 + ... + 74702409.

Almost surely, 2^{102112122110220} is an apocalyptic number.

102112122110220 is a gapful number since it is divisible by the number (10) 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 102112122110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159070156823760).

102112122110220 is an abundant number, since it is smaller than the sum of its proper divisors (216028191537300).

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

102112122110220 is a wasteful number, since it uses less digits than its factorization.

102112122110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390824 (or 1390819 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112122110220 its reverse (22011221211201), we get a palindrome (124123343321421).

The spelling of 102112122110220 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty".