102210320011200 has 84 divisors (see below), whose sum is σ = 335335024919160. Its totient is φ = 27256085335040.

The previous prime is 102210320011159. The next prime is 102210320011213. The reversal of 102210320011200 is 2110023012201.

102210320011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102210320011200² (a number of 29 digits) contains 22 as substring.

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 102210320011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10646903535 + ... + 10646913134.

It is an arithmetic number, because the mean of its divisors is an integer number (3992083629990).

Almost surely, 2^{102210320011200} is an apocalyptic number.

102210320011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210320011200 is an abundant number, since it is smaller than the sum of its proper divisors (233124704907960).

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

102210320011200 is a wasteful number, since it uses less digits than its factorization.

102210320011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21293816694 (or 21293816679 counting only the distinct ones).

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

Adding to 102210320011200 its reverse (2110023012201), we get a palindrome (104320343023401).

The spelling of 102210320011200 in words is "one hundred two trillion, two hundred ten billion, three hundred twenty million, eleven thousand, two hundred".