2011102111121 has 4 divisors (see below), whose sum is σ = 2011117100544. Its totient is φ = 2011087121700.

The previous prime is 2011102111097. The next prime is 2011102111141. The reversal of 2011102111121 is 1211112011102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2011102111121 - 2³⁴ = 1993922241937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011102111096 and 2011102111105.

It is not an unprimeable number, because it can be changed into a prime (2011102111141) 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, 7291625 + ... + 7562406.

It is an arithmetic number, because the mean of its divisors is an integer number (502779275136).

Almost surely, 2^{2011102111121} is an apocalyptic number.

It is an amenable number.

2011102111121 is a deficient number, since it is larger than the sum of its proper divisors (14989423).

2011102111121 is a wasteful number, since it uses less digits than its factorization.

2011102111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14989422.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2011102111121 its reverse (1211112011102), we get a palindrome (3222214122223).

The spelling of 2011102111121 in words is "two trillion, eleven billion, one hundred two million, one hundred eleven thousand, one hundred twenty-one".