102210110120 has 64 divisors (see below), whose sum is σ = 242562600000. Its totient is φ = 38654489088.

The previous prime is 102210110117. The next prime is 102210110173. The reversal of 102210110120 is 21011012201.

It is a super-3 number, since 3×102210110120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 244484 + ... + 513996.

It is an arithmetic number, because the mean of its divisors is an integer number (3790040625).

Almost surely, 2^102210110120 is an apocalyptic number.

102210110120 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 102210110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121281300000).

102210110120 is an abundant number, since it is smaller than the sum of its proper divisors (140352489880).

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

102210110120 is a wasteful number, since it uses less digits than its factorization.

102210110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270042 (or 270038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102210110120 its reverse (21011012201), we get a palindrome (123221122321).

The spelling of 102210110120 in words is "one hundred two billion, two hundred ten million, one hundred ten thousand, one hundred twenty".