221002100210000 has 50 divisors (see below), whose sum is σ = 535068184842642. Its totient is φ = 88400840080000.

The previous prime is 221002100209997. The next prime is 221002100210069. The reversal of 221002100210000 is 12001200122.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 146423745922624 + 74578354287376 = 12100568^2 + 8635876^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11050095011 + ... + 11050115010.

Almost surely, 2^{221002100210000} is an apocalyptic number.

221002100210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002100210000 is an abundant number, since it is smaller than the sum of its proper divisors (314066084632642).

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

221002100210000 is an equidigital number, since it uses as much as digits as its factorization.

221002100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22100210049 (or 22100210028 counting only the distinct ones).

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

Adding to 221002100210000 its reverse (12001200122), we get a palindrome (221014101410122).

The spelling of 221002100210000 in words is "two hundred twenty-one trillion, two billion, one hundred million, two hundred ten thousand".