2011022100211 has 8 divisors (see below), whose sum is σ = 2024603539904. Its totient is φ = 1997455830120.

The previous prime is 2011022100179. The next prime is 2011022100221. The reversal of 2011022100211 is 1120012201102.

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 2011022100211 - 2⁵ = 2011022100179 is a prime.

It is a super-2 number, since 2×2011022100211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011022100191 and 2011022100200.

It is not an unprimeable number, because it can be changed into a prime (2011022100221) 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 7 ways as a sum of consecutive naturals, for example, 3526305 + ... + 4056706.

It is an arithmetic number, because the mean of its divisors is an integer number (253075442488).

Almost surely, 2^{2011022100211} is an apocalyptic number.

2011022100211 is a deficient number, since it is larger than the sum of its proper divisors (13581439693).

2011022100211 is a wasteful number, since it uses less digits than its factorization.

2011022100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584801.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2011022100211 its reverse (1120012201102), we get a palindrome (3131034301313).

The spelling of 2011022100211 in words is "two trillion, eleven billion, twenty-two million, one hundred thousand, two hundred eleven".