10011011220111 has 16 divisors (see below), whose sum is σ = 14690333445120. Its totient is φ = 6013586785920.

The previous prime is 10011011220061. The next prime is 10011011220143. The reversal of 10011011220111 is 11102211011001.

It is not a de Polignac number, because 10011011220111 - 2³⁷ = 9873572266639 is a prime.

It is a super-5 number, since 5×10011011220111⁵ (a number of 66 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011220151) 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, 1342314751 + ... + 1342322208.

It is an arithmetic number, because the mean of its divisors is an integer number (918145840320).

Almost surely, 2^{10011011220111} is an apocalyptic number.

10011011220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011011220111 is a deficient number, since it is larger than the sum of its proper divisors (4679322225009).

10011011220111 is a wasteful number, since it uses less digits than its factorization.

10011011220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684637086.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011011220111 its reverse (11102211011001), we get a palindrome (21113222231112).

The spelling of 10011011220111 in words is "ten trillion, eleven billion, eleven million, two hundred twenty thousand, one hundred eleven".