102221022000 has 80 divisors (see below), whose sum is σ = 329560594272. Its totient is φ = 27258937600.

The previous prime is 102221021989. The next prime is 102221022011. The reversal of 102221022000 is 220122201.

It is an interprime number because it is at equal distance from previous prime (102221021989) and next prime (102221022011).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8512419 + ... + 8524418.

Almost surely, 2^102221022000 is an apocalyptic number.

102221022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221022000 is an abundant number, since it is smaller than the sum of its proper divisors (227339572272).

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

102221022000 is a wasteful number, since it uses less digits than its factorization.

102221022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17036863 (or 17036847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102221022000 its reverse (220122201), we get a palindrome (102441144201).

The spelling of 102221022000 in words is "one hundred two billion, two hundred twenty-one million, twenty-two thousand".