2211211101121 has 16 divisors (see below), whose sum is σ = 2453220350208. Its totient is φ = 1976155750800.

The previous prime is 2211211101109. The next prime is 2211211101133. The reversal of 2211211101121 is 1211011121122.

It is an interprime number because it is at equal distance from previous prime (2211211101109) and next prime (2211211101133).

It is not a de Polignac number, because 2211211101121 - 2⁵ = 2211211101089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211211101095 and 2211211101104.

It is not an unprimeable number, because it can be changed into a prime (2211251101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2693415 + ... + 3417148.

It is an arithmetic number, because the mean of its divisors is an integer number (153326271888).

Almost surely, 2^{2211211101121} is an apocalyptic number.

It is an amenable number.

2211211101121 is a deficient number, since it is larger than the sum of its proper divisors (242009249087).

2211211101121 is a wasteful number, since it uses less digits than its factorization.

2211211101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111132.

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

Adding to 2211211101121 its reverse (1211011121122), we get a palindrome (3422222222243).

The spelling of 2211211101121 in words is "two trillion, two hundred eleven billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".