102202212120 has 128 divisors (see below), whose sum is σ = 320172134400. Its totient is φ = 26049841664.

The previous prime is 102202212109. The next prime is 102202212131. The reversal of 102202212120 is 21212202201.

102202212120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102202212109) and next prime (102202212131).

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 102202212120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3958774 + ... + 3984506.

It is an arithmetic number, because the mean of its divisors is an integer number (2501344800).

Almost surely, 2^102202212120 is an apocalyptic number.

102202212120 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 102202212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160086067200).

102202212120 is an abundant number, since it is smaller than the sum of its proper divisors (217969922280).

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

102202212120 is a wasteful number, since it uses less digits than its factorization.

102202212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27209 (or 27205 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202212120 its reverse (21212202201), we get a palindrome (123414414321).

The spelling of 102202212120 in words is "one hundred two billion, two hundred two million, two hundred twelve thousand, one hundred twenty".