2101221100001 has 4 divisors (see below), whose sum is σ = 2135667347604. Its totient is φ = 2066774852400.

The previous prime is 2101221099949. The next prime is 2101221100003. The reversal of 2101221100001 is 1000011221012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 392187810001 + 1709033290000 = 626249^2 + 1307300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101221100001 - 2¹⁸ = 2101220837857 is a prime.

It is a super-2 number, since 2×2101221100001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101221100003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17223123710 + ... + 17223123831.

It is an arithmetic number, because the mean of its divisors is an integer number (533916836901).

Almost surely, 2^{2101221100001} is an apocalyptic number.

It is an amenable number.

2101221100001 is a deficient number, since it is larger than the sum of its proper divisors (34446247603).

2101221100001 is an equidigital number, since it uses as much as digits as its factorization.

2101221100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34446247602.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101221100001 its reverse (1000011221012), we get a palindrome (3101232321013).

The spelling of 2101221100001 in words is "two trillion, one hundred one billion, two hundred twenty-one million, one hundred thousand, one".