10011111101211 has 128 divisors (see below), whose sum is σ = 15511917035520. Its totient is φ = 5685509491200.

The previous prime is 10011111101209. The next prime is 10011111101221. The reversal of 10011111101211 is 11210111111001.

It is not a de Polignac number, because 10011111101211 - 2¹ = 10011111101209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011111101221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12950984221 + ... + 12950984993.

It is an arithmetic number, because the mean of its divisors is an integer number (121186851840).

Almost surely, 2^{10011111101211} is an apocalyptic number.

10011111101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011111101211 is a deficient number, since it is larger than the sum of its proper divisors (5500805934309).

10011111101211 is a wasteful number, since it uses less digits than its factorization.

10011111101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10011111101211 its reverse (11210111111001), we get a palindrome (21221222212212).

The spelling of 10011111101211 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred one thousand, two hundred eleven".