2101110010101 has 8 divisors (see below), whose sum is σ = 3112755570560. Its totient is φ = 1400740006716.

The previous prime is 2101110010093. The next prime is 2101110010123. The reversal of 2101110010101 is 1010100111012.

It is not a de Polignac number, because 2101110010101 - 2³ = 2101110010093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101110010171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38909444605 + ... + 38909444658.

It is an arithmetic number, because the mean of its divisors is an integer number (389094446320).

Almost surely, 2^{2101110010101} is an apocalyptic number.

It is an amenable number.

2101110010101 is a deficient number, since it is larger than the sum of its proper divisors (1011645560459).

2101110010101 is an equidigital number, since it uses as much as digits as its factorization.

2101110010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77818889272 (or 77818889266 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2101110010101 its reverse (1010100111012), we get a palindrome (3111210121113).

The spelling of 2101110010101 in words is "two trillion, one hundred one billion, one hundred ten million, ten thousand, one hundred one".