102021221000 has 64 divisors (see below), whose sum is σ = 238792348080. Its totient is φ = 40797772800.

The previous prime is 102021220979. The next prime is 102021221021. The reversal of 102021221000 is 122120201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102021220979) and next prime (102021221021).

It can be written as a sum of positive squares in 8 ways, for example, as 4086022084 + 97935198916 = 63922^2 + 312946^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4585904 + ... + 4608096.

Almost surely, 2^102021221000 is an apocalyptic number.

102021221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021221000 is an abundant number, since it is smaller than the sum of its proper divisors (136771127080).

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

102021221000 is a wasteful number, since it uses less digits than its factorization.

102021221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26811 (or 26797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102021221000 its reverse (122120201), we get a palindrome (102143341201).

The spelling of 102021221000 in words is "one hundred two billion, twenty-one million, two hundred twenty-one thousand".