100221020002000 has 320 divisors, whose sum is σ = 252674343806976. Its totient is φ = 38416896000000.

The previous prime is 100221020001983. The next prime is 100221020002013. The reversal of 100221020002000 is 200020122001.

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

It is a congruent number.

It is an unprimeable number.

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, 1577730240 + ... + 1577793760.

Almost surely, 2^{100221020002000} is an apocalyptic number.

100221020002000 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 100221020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126337171903488).

100221020002000 is an abundant number, since it is smaller than the sum of its proper divisors (152453323804976).

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

100221020002000 is a wasteful number, since it uses less digits than its factorization.

100221020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63927 (or 63911 counting only the distinct ones).

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

Adding to 100221020002000 its reverse (200020122001), we get a palindrome (100421040124001).

The spelling of 100221020002000 in words is "one hundred trillion, two hundred twenty-one billion, twenty million, two thousand".