2110001022101 has 6 divisors (see below), whose sum is σ = 2454490984950. Its totient is φ = 1808572304616.

The previous prime is 2110001022097. The next prime is 2110001022113. The reversal of 2110001022101 is 1012201000112.

It can be written as a sum of positive squares in only one way, i.e., 1649131114225 + 460869907876 = 1284185^2 + 678874^2 .

It is not a de Polignac number, because 2110001022101 - 2² = 2110001022097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110001028101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21530622626 + ... + 21530622723.

It is an arithmetic number, because the mean of its divisors is an integer number (409081830825).

Almost surely, 2^{2110001022101} is an apocalyptic number.

It is an amenable number.

2110001022101 is a deficient number, since it is larger than the sum of its proper divisors (344489962849).

2110001022101 is an equidigital number, since it uses as much as digits as its factorization.

2110001022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43061245363 (or 43061245356 counting only the distinct ones).

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

Adding to 2110001022101 its reverse (1012201000112), we get a palindrome (3122202022213).

The spelling of 2110001022101 in words is "two trillion, one hundred ten billion, one million, twenty-two thousand, one hundred one".