20002100221000 has 128 divisors (see below), whose sum is σ = 47077333954560. Its totient is φ = 7954298784000.

The previous prime is 20002100220917. The next prime is 20002100221013. The reversal of 20002100221000 is 12200120002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699188697 + ... + 699217303.

It is an arithmetic number, because the mean of its divisors is an integer number (367791671520).

Almost surely, 2^{20002100221000} is an apocalyptic number.

20002100221000 is a gapful number since it is divisible by the number (20) 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 20002100221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538666977280).

20002100221000 is an abundant number, since it is smaller than the sum of its proper divisors (27075233733560).

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

20002100221000 is a wasteful number, since it uses less digits than its factorization.

20002100221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32672 (or 32658 counting only the distinct ones).

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

Adding to 20002100221000 its reverse (12200120002), we get a palindrome (20014300341002).

The spelling of 20002100221000 in words is "twenty trillion, two billion, one hundred million, two hundred twenty-one thousand".