10000011122211 has 32 divisors (see below), whose sum is σ = 14713451562240. Its totient is φ = 5990816592000.

The previous prime is 10000011122209. The next prime is 10000011122263. The reversal of 10000011122211 is 11222111000001.

It is not a de Polignac number, because 10000011122211 - 2¹ = 10000011122209 is a prime.

It is a super-3 number, since 3×10000011122211³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000011122611) 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, 404101 + ... + 4490358.

It is an arithmetic number, because the mean of its divisors is an integer number (459795361320).

Almost surely, 2^{10000011122211} is an apocalyptic number.

10000011122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000011122211 is a deficient number, since it is larger than the sum of its proper divisors (4713440440029).

10000011122211 is a wasteful number, since it uses less digits than its factorization.

10000011122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895187.

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

Adding to 10000011122211 its reverse (11222111000001), we get a palindrome (21222122122212).

It can be divided in two parts, 1000001 and 1122211, that multiplied together give a palindrome (1122212122211).

The spelling of 10000011122211 in words is "ten trillion, eleven million, one hundred twenty-two thousand, two hundred eleven".