2101001221101 has 12 divisors (see below), whose sum is σ = 2901263679392. Its totient is φ = 1352368600464.

The previous prime is 2101001221051. The next prime is 2101001221133. The reversal of 2101001221101 is 1011221001012.

It is not a de Polignac number, because 2101001221101 - 2¹⁴ = 2101001204717 is a prime.

It is a super-2 number, since 2×2101001221101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101001221181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416367121 + ... + 416372166.

Almost surely, 2^{2101001221101} is an apocalyptic number.

It is an amenable number.

2101001221101 is a deficient number, since it is larger than the sum of its proper divisors (800262458291).

2101001221101 is an equidigital number, since it uses as much as digits as its factorization.

2101001221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832739348 (or 832739319 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101001221101 its reverse (1011221001012), we get a palindrome (3112222222113).

The spelling of 2101001221101 in words is "two trillion, one hundred one billion, one million, two hundred twenty-one thousand, one hundred one".