102210213120 has 144 divisors (see below), whose sum is σ = 326587474752. Its totient is φ = 27243233280.

The previous prime is 102210213101. The next prime is 102210213121. The reversal of 102210213120 is 21312012201.

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 102210213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10413015 + ... + 10422825.

Almost surely, 2^102210213120 is an apocalyptic number.

102210213120 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 102210213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163293737376).

102210213120 is an abundant number, since it is smaller than the sum of its proper divisors (224377261632).

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

102210213120 is an equidigital number, since it uses as much as digits as its factorization.

102210213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12548 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102210213120 its reverse (21312012201), we get a palindrome (123522225321).

The spelling of 102210213120 in words is "one hundred two billion, two hundred ten million, two hundred thirteen thousand, one hundred twenty".