2011102022211 has 32 divisors (see below), whose sum is σ = 2888751820800. Its totient is φ = 1240885008000.

The previous prime is 2011102022203. The next prime is 2011102022221. The reversal of 2011102022211 is 1122202011102.

It is not a de Polignac number, because 2011102022211 - 2³ = 2011102022203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011102022221) 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 31 ways as a sum of consecutive naturals, for example, 14796261 + ... + 14931561.

It is an arithmetic number, because the mean of its divisors is an integer number (90273494400).

Almost surely, 2^{2011102022211} is an apocalyptic number.

2011102022211 is a deficient number, since it is larger than the sum of its proper divisors (877649798589).

2011102022211 is a wasteful number, since it uses less digits than its factorization.

2011102022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142307.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2011102022211 its reverse (1122202011102), we get a palindrome (3133304033313).

The spelling of 2011102022211 in words is "two trillion, eleven billion, one hundred two million, twenty-two thousand, two hundred eleven".