2102012101111 has 16 divisors (see below), whose sum is σ = 2295836766720. Its totient is φ = 1912783551840.

The previous prime is 2102012101097. The next prime is 2102012101121. The reversal of 2102012101111 is 1111012102012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2102012101111 - 2⁷ = 2102012100983 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102012101091 and 2102012101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012101121) 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, 8763700 + ... + 9000358.

It is an arithmetic number, because the mean of its divisors is an integer number (143489797920).

Almost surely, 2^{2102012101111} is an apocalyptic number.

2102012101111 is a deficient number, since it is larger than the sum of its proper divisors (193824665609).

2102012101111 is a wasteful number, since it uses less digits than its factorization.

2102012101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246366.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2102012101111 its reverse (1111012102012), we get a palindrome (3213024203123).

Subtracting from 2102012101111 its reverse (1111012102012), we obtain a palindrome (990999999099).

The spelling of 2102012101111 in words is "two trillion, one hundred two billion, twelve million, one hundred one thousand, one hundred eleven".