2101111012111 has 4 divisors (see below), whose sum is σ = 2101128185800. Its totient is φ = 2101093838424.

The previous prime is 2101111012097. The next prime is 2101111012141. The reversal of 2101111012111 is 1112101111012.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2101111012111 - 2⁷ = 2101111011983 is a prime.

It is a super-2 number, since 2×2101111012111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101111012091 and 2101111012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101111012141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8402001 + ... + 8648458.

It is an arithmetic number, because the mean of its divisors is an integer number (525282046450).

Almost surely, 2^{2101111012111} is an apocalyptic number.

2101111012111 is a deficient number, since it is larger than the sum of its proper divisors (17173689).

2101111012111 is a wasteful number, since it uses less digits than its factorization.

2101111012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17173688.

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

Adding to 2101111012111 its reverse (1112101111012), we get a palindrome (3213212123123).

It can be divided in two parts, 2101111012 and 111, that multiplied together give a palindrome (233223322332).

The spelling of 2101111012111 in words is "two trillion, one hundred one billion, one hundred eleven million, twelve thousand, one hundred eleven".