2110121211101 has 4 divisors (see below), whose sum is σ = 2110370436672. Its totient is φ = 2109871985532.

The previous prime is 2110121211089. The next prime is 2110121211151. The reversal of 2110121211101 is 1011121210112.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2110121211101 - 2³⁸ = 1835243304157 is a prime.

It is a super-2 number, since 2×2110121211101² (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 (2110121211151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124600085 + ... + 124617018.

It is an arithmetic number, because the mean of its divisors is an integer number (527592609168).

Almost surely, 2^{2110121211101} is an apocalyptic number.

It is an amenable number.

2110121211101 is a deficient number, since it is larger than the sum of its proper divisors (249225571).

2110121211101 is an equidigital number, since it uses as much as digits as its factorization.

2110121211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249225570.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2110121211101 its reverse (1011121210112), we get a palindrome (3121242421213).

The spelling of 2110121211101 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, two hundred eleven thousand, one hundred one".