2011102201011 has 32 divisors (see below), whose sum is σ = 2801187048960. Its totient is φ = 1281796001024.

The previous prime is 2011102200931. The next prime is 2011102201021. The reversal of 2011102201011 is 1101022011102.

It is a cyclic number.

It is not a de Polignac number, because 2011102201011 - 2¹⁴ = 2011102184627 is a prime.

It is a super-2 number, since 2×2011102201011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011102201021) 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, 19992106 + ... + 20092448.

It is an arithmetic number, because the mean of its divisors is an integer number (87537095280).

Almost surely, 2^{2011102201011} is an apocalyptic number.

2011102201011 is a deficient number, since it is larger than the sum of its proper divisors (790084847949).

2011102201011 is a wasteful number, since it uses less digits than its factorization.

2011102201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102635.

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

Adding to 2011102201011 its reverse (1101022011102), we get a palindrome (3112124212113).

The spelling of 2011102201011 in words is "two trillion, eleven billion, one hundred two million, two hundred one thousand, eleven".