2210100010000 has 50 divisors (see below), whose sum is σ = 5350873158422. Its totient is φ = 884040000000.

The previous prime is 2210100009989. The next prime is 2210100010007. The reversal of 2210100010000 is 100010122.

It can be written as a sum of positive squares in 5 ways, for example, as 760551433216 + 1449548576784 = 872096^2 + 1203972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2210100010007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 110495001 + ... + 110515000.

Almost surely, 2^{2210100010000} is an apocalyptic number.

2210100010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210100010000 is an abundant number, since it is smaller than the sum of its proper divisors (3140773148422).

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

2210100010000 is an equidigital number, since it uses as much as digits as its factorization.

2210100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221010029 (or 221010008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2210100010000 its reverse (100010122), we get a palindrome (2210200020122).

The spelling of 2210100010000 in words is "two trillion, two hundred ten billion, one hundred million, ten thousand".