2101111211121 has 32 divisors (see below), whose sum is σ = 3074150403072. Its totient is φ = 1268493907200.

The previous prime is 2101111211117. The next prime is 2101111211131. The reversal of 2101111211121 is 1211121111012.

It is not a de Polignac number, because 2101111211121 - 2² = 2101111211117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101111211121.

It is not an unprimeable number, because it can be changed into a prime (2101111211131) 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, 31825696 + ... + 31891646.

It is an arithmetic number, because the mean of its divisors is an integer number (96067200096).

Almost surely, 2^{2101111211121} is an apocalyptic number.

It is an amenable number.

2101111211121 is a deficient number, since it is larger than the sum of its proper divisors (973039191951).

2101111211121 is a wasteful number, since it uses less digits than its factorization.

2101111211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81433.

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

Adding to 2101111211121 its reverse (1211121111012), we get a palindrome (3312232322133).

The spelling of 2101111211121 in words is "two trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-one".