2212011110001 has 32 divisors (see below), whose sum is σ = 3836983707648. Its totient is φ = 1099135952640.

The previous prime is 2212011109963. The next prime is 2212011110009. The reversal of 2212011110001 is 1000111102122.

It is not a de Polignac number, because 2212011110001 - 2¹⁹ = 2212010585713 is a prime.

It is a super-2 number, since 2×2212011110001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2212011110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208164376 + ... + 208175001.

It is an arithmetic number, because the mean of its divisors is an integer number (119905740864).

Almost surely, 2^{2212011110001} is an apocalyptic number.

2212011110001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2212011110001 is a deficient number, since it is larger than the sum of its proper divisors (1624972597647).

2212011110001 is a wasteful number, since it uses less digits than its factorization.

2212011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416339421.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2212011110001 its reverse (1000111102122), we get a palindrome (3212122212123).

It can be divided in two parts, 22120 and 11110001, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 2212011110001 in words is "two trillion, two hundred twelve billion, eleven million, one hundred ten thousand, one".