2111100010101 has 16 divisors (see below), whose sum is σ = 3127717288320. Its totient is φ = 1407327233760.

The previous prime is 2111100010091. The next prime is 2111100010127. The reversal of 2111100010101 is 1010100011112.

It is not a de Polignac number, because 2111100010101 - 2⁶ = 2111100010037 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111100010301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487065 + ... + 2536446.

It is an arithmetic number, because the mean of its divisors is an integer number (195482330520).

Almost surely, 2^{2111100010101} is an apocalyptic number.

It is an amenable number.

2111100010101 is a deficient number, since it is larger than the sum of its proper divisors (1016617278219).

2111100010101 is a wasteful number, since it uses less digits than its factorization.

2111100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042953 (or 4042947 counting only the distinct ones).

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

Adding to 2111100010101 its reverse (1010100011112), we get a palindrome (3121200021213).

The spelling of 2111100010101 in words is "two trillion, one hundred eleven billion, one hundred million, ten thousand, one hundred one".