102213116352 has 224 divisors, whose sum is σ = 318993560640. Its totient is φ = 31983206400.

The previous prime is 102213116303. The next prime is 102213116371. The reversal of 102213116352 is 253611312201.

102213116352 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 13 + 11 + 635 + 2 = 666.

102213116352 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11775438 + ... + 11784114.

Almost surely, 2^102213116352 is an apocalyptic number.

102213116352 is a gapful number since it is divisible by the number (12) 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 102213116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159496780320).

102213116352 is an abundant number, since it is smaller than the sum of its proper divisors (216780444288).

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

102213116352 is a wasteful number, since it uses less digits than its factorization.

102213116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 102213116352 its reverse (253611312201), we get a palindrome (355824428553).

The spelling of 102213116352 in words is "one hundred two billion, two hundred thirteen million, one hundred sixteen thousand, three hundred fifty-two".