221002100000 has 288 divisors, whose sum is σ = 612509796864. Its totient is φ = 77760000000.

The previous prime is 221002099931. The next prime is 221002100051. The reversal of 221002100000 is 1200122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34096760 + ... + 34103240.

It is an arithmetic number, because the mean of its divisors is an integer number (2126770128).

Almost surely, 2^221002100000 is an apocalyptic number.

221002100000 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 221002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306254898432).

221002100000 is an abundant number, since it is smaller than the sum of its proper divisors (391507696864).

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

221002100000 is an equidigital number, since it uses as much as digits as its factorization.

221002100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 221002100000 its reverse (1200122), we get a palindrome (221003300122).

The spelling of 221002100000 in words is "two hundred twenty-one billion, two million, one hundred thousand".