102221002000 has 120 divisors (see below), whose sum is σ = 267646920840. Its totient is φ = 37743014400.

The previous prime is 102221001983. The next prime is 102221002001. The reversal of 102221002000 is 200122201.

It can be written as a sum of positive squares in 12 ways, for example, as 95446395136 + 6774606864 = 308944^2 + 82308^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102221002001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186786 + ... + 489214.

It is an arithmetic number, because the mean of its divisors is an integer number (2230391007).

Almost surely, 2^102221002000 is an apocalyptic number.

102221002000 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 102221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133823460420).

102221002000 is an abundant number, since it is smaller than the sum of its proper divisors (165425918840).

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

102221002000 is a wasteful number, since it uses less digits than its factorization.

102221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302478 (or 302449 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102221002000 its reverse (200122201), we get a palindrome (102421124201).

The spelling of 102221002000 in words is "one hundred two billion, two hundred twenty-one million, two thousand".