102210000020000 has 120 divisors (see below), whose sum is σ = 251469275557500. Its totient is φ = 40881180032000.

The previous prime is 102210000019991. The next prime is 102210000020033. The reversal of 102210000020000 is 20000012201.

It can be written as a sum of positive squares in 10 ways, for example, as 523186035856 + 101686813984144 = 723316^2 + 10083988^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102210000020000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 302811326 + ... + 303148674.

Almost surely, 2^{102210000020000} is an apocalyptic number.

102210000020000 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 102210000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125734637778750).

102210000020000 is an abundant number, since it is smaller than the sum of its proper divisors (149259275537500).

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

102210000020000 is an equidigital number, since it uses as much as digits as its factorization.

102210000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352528 (or 352505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102210000020000 its reverse (20000012201), we get a palindrome (102230000032201).

The spelling of 102210000020000 in words is "one hundred two trillion, two hundred ten billion, twenty thousand".