101111211020011 has 8 divisors (see below), whose sum is σ = 102666929304800. Its totient is φ = 99565968953088.

The previous prime is 101111211020003. The next prime is 101111211020081. The reversal of 101111211020011 is 110020112111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111211020011 - 2³ = 101111211020003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111211019973 and 101111211020000.

It is not an unprimeable number, because it can be changed into a prime (101111211020081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2619035016 + ... + 2619073621.

It is an arithmetic number, because the mean of its divisors is an integer number (12833366163100).

Almost surely, 2^{101111211020011} is an apocalyptic number.

101111211020011 is a deficient number, since it is larger than the sum of its proper divisors (1555718284789).

101111211020011 is an equidigital number, since it uses as much as digits as its factorization.

101111211020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238108933.

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

Adding to 101111211020011 its reverse (110020112111101), we get a palindrome (211131323131112).

The spelling of 101111211020011 in words is "one hundred one trillion, one hundred eleven billion, two hundred eleven million, twenty thousand, eleven".