2112121201011 has 16 divisors (see below), whose sum is σ = 2817286903200. Its totient is φ = 1407518281728.

The previous prime is 2112121200991. The next prime is 2112121201031. The reversal of 2112121201011 is 1101021212112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112121200991) and next prime (2112121201031).

It is not a de Polignac number, because 2112121201011 - 2⁷ = 2112121200883 is a prime.

It is a super-2 number, since 2×2112121201011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112121201031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98792755 + ... + 98814131.

It is an arithmetic number, because the mean of its divisors is an integer number (176080431450).

Almost surely, 2^{2112121201011} is an apocalyptic number.

2112121201011 is a deficient number, since it is larger than the sum of its proper divisors (705165702189).

2112121201011 is a wasteful number, since it uses less digits than its factorization.

2112121201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32998.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112121201011 its reverse (1101021212112), we get a palindrome (3213142413123).

It can be divided in two parts, 2112121 and 201011, that added together give a palindrome (2313132).

The spelling of 2112121201011 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred one thousand, eleven".