102221000002000 has 320 divisors, whose sum is σ = 277236921701376. Its totient is φ = 36130752000000.

The previous prime is 102221000001937. The next prime is 102221000002007. The reversal of 102221000002000 is 200000122201.

102221000002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221000002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244232910 + ... + 244651090.

Almost surely, 2^{102221000002000} is an apocalyptic number.

102221000002000 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 102221000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138618460850688).

102221000002000 is an abundant number, since it is smaller than the sum of its proper divisors (175015921699376).

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

102221000002000 is a wasteful number, since it uses less digits than its factorization.

102221000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418527 (or 418511 counting only the distinct ones).

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

Adding to 102221000002000 its reverse (200000122201), we get a palindrome (102421000124201).

The spelling of 102221000002000 in words is "one hundred two trillion, two hundred twenty-one billion, two thousand".