2102111111121 has 32 divisors (see below), whose sum is σ = 3207341076480. Its totient is φ = 1199660778624.

The previous prime is 2102111111077. The next prime is 2102111111137. The reversal of 2102111111121 is 1211111112012.

It is not a de Polignac number, because 2102111111121 - 2¹⁴ = 2102111094737 is a prime.

It is a super-2 number, since 2×2102111111121² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102111111121.

It is not an unprimeable number, because it can be changed into a prime (2102111113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55824526 + ... + 55862168.

It is an arithmetic number, because the mean of its divisors is an integer number (100229408640).

Almost surely, 2^{2102111111121} is an apocalyptic number.

2102111111121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102111111121 is a deficient number, since it is larger than the sum of its proper divisors (1105229965359).

2102111111121 is a wasteful number, since it uses less digits than its factorization.

2102111111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41005.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2102111111121 its reverse (1211111112012), we get a palindrome (3313222223133).

The spelling of 2102111111121 in words is "two trillion, one hundred two billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".