102011222120 has 64 divisors (see below), whose sum is σ = 234701511120. Its totient is φ = 39889833984.

The previous prime is 102011222113. The next prime is 102011222143. The reversal of 102011222120 is 21222110201.

It can be written as a sum of positive squares in 8 ways, for example, as 61715477476 + 40295744644 = 248426^2 + 200738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102011222095 and 102011222104.

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, 500384 + ... + 674096.

Almost surely, 2^102011222120 is an apocalyptic number.

102011222120 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 102011222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117350755560).

102011222120 is an abundant number, since it is smaller than the sum of its proper divisors (132690289000).

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

102011222120 is a wasteful number, since it uses less digits than its factorization.

102011222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174054 (or 174050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102011222120 its reverse (21222110201), we get a palindrome (123233332321).

It can be divided in two parts, 10201 and 1222120, that added together give a palindrome (1232321).

The spelling of 102011222120 in words is "one hundred two billion, eleven million, two hundred twenty-two thousand, one hundred twenty".