102210213121320 has 128 divisors (see below), whose sum is σ = 313399944460800. Its totient is φ = 26655249156096.

The previous prime is 102210213121249. The next prime is 102210213121321. The reversal of 102210213121320 is 23121312012201.

102210213121320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102210213121321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106596 + ... + 14297964.

It is an arithmetic number, because the mean of its divisors is an integer number (2448437066100).

Almost surely, 2^{102210213121320} is an apocalyptic number.

102210213121320 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 102210213121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156699972230400).

102210213121320 is an abundant number, since it is smaller than the sum of its proper divisors (211189731339480).

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

102210213121320 is a wasteful number, since it uses less digits than its factorization.

102210213121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192707 (or 14192703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102210213121320 its reverse (23121312012201), we get a palindrome (125331525133521).

The spelling of 102210213121320 in words is "one hundred two trillion, two hundred ten billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".