2111210111101 has 16 divisors (see below), whose sum is σ = 2682232204288. Its totient is φ = 1616523868800.

The previous prime is 2111210111093. The next prime is 2111210111113. The reversal of 2111210111101 is 1011110121112.

It is a cyclic number.

It is not a de Polignac number, because 2111210111101 - 2³ = 2111210111093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111210111161) 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, 374192520 + ... + 374198161.

It is an arithmetic number, because the mean of its divisors is an integer number (167639512768).

Almost surely, 2^{2111210111101} is an apocalyptic number.

It is an amenable number.

2111210111101 is a deficient number, since it is larger than the sum of its proper divisors (571022093187).

2111210111101 is a wasteful number, since it uses less digits than its factorization.

2111210111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748390732.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2111210111101 its reverse (1011110121112), we get a palindrome (3122320232213).

It can be divided in two parts, 21112 and 10111101, that multiplied together give a palindrome (213465564312).

The spelling of 2111210111101 in words is "two trillion, one hundred eleven billion, two hundred ten million, one hundred eleven thousand, one hundred one".