2110101112101 has 4 divisors (see below), whose sum is σ = 2813468149472. Its totient is φ = 1406734074732.

The previous prime is 2110101112033. The next prime is 2110101112109. The reversal of 2110101112101 is 1012111010112.

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 not a de Polignac number, because 2110101112101 - 2⁹ = 2110101111589 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 (2110101112109) 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, 351683518681 + ... + 351683518686.

It is an arithmetic number, because the mean of its divisors is an integer number (703367037368).

Almost surely, 2^{2110101112101} is an apocalyptic number.

It is an amenable number.

2110101112101 is a deficient number, since it is larger than the sum of its proper divisors (703367037371).

2110101112101 is an equidigital number, since it uses as much as digits as its factorization.

2110101112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703367037370.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2110101112101 its reverse (1012111010112), we get a palindrome (3122212122213).

The spelling of 2110101112101 in words is "two trillion, one hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred one".