2111122101121 has 8 divisors (see below), whose sum is σ = 2325844692288. Its totient is φ = 1900199910000.

The previous prime is 2111122101083. The next prime is 2111122101167. The reversal of 2111122101121 is 1211012211112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2111122101121 - 2²¹ = 2111120003969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111122101095 and 2111122101104.

It is not an unprimeable number, because it can be changed into a prime (2111122102121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950098845 + ... + 950101066.

It is an arithmetic number, because the mean of its divisors is an integer number (290730586536).

Almost surely, 2^{2111122101121} is an apocalyptic number.

It is an amenable number.

2111122101121 is a deficient number, since it is larger than the sum of its proper divisors (214722591167).

2111122101121 is a wasteful number, since it uses less digits than its factorization.

2111122101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900200023.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2111122101121 its reverse (1211012211112), we get a palindrome (3322134312233).

The spelling of 2111122101121 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".