10211112011011 has 4 divisors (see below), whose sum is σ = 10211338361224. Its totient is φ = 10210885660800.

The previous prime is 10211112011003. The next prime is 10211112011033. The reversal of 10211112011011 is 11011021111201.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10211112011011 - 2³ = 10211112011003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211112010982 and 10211112011000.

It is not an unprimeable number, because it can be changed into a prime (10211122011011) 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 3 ways as a sum of consecutive naturals, for example, 113107425 + ... + 113197666.

It is an arithmetic number, because the mean of its divisors is an integer number (2552834590306).

Almost surely, 2^{10211112011011} is an apocalyptic number.

10211112011011 is a deficient number, since it is larger than the sum of its proper divisors (226350213).

10211112011011 is an equidigital number, since it uses as much as digits as its factorization.

10211112011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226350212.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10211112011011 its reverse (11011021111201), we get a palindrome (21222133122212).

The spelling of 10211112011011 in words is "ten trillion, two hundred eleven billion, one hundred twelve million, eleven thousand, eleven".