101005511010611 has 12 divisors (see below), whose sum is σ = 107363032037952. Its totient is φ = 95005073774208.

The previous prime is 101005511010583. The next prime is 101005511010641. The reversal of 101005511010611 is 116010115500101.

It is a de Polignac number, because none of the positive numbers 2^k-101005511010611 is a prime.

It is a super-2 number, since 2×101005511010611² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101005511010641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107872355 + ... + 108804668.

It is an arithmetic number, because the mean of its divisors is an integer number (8946919336496).

Almost surely, 2^{101005511010611} is an apocalyptic number.

101005511010611 is a deficient number, since it is larger than the sum of its proper divisors (6357521027341).

101005511010611 is a wasteful number, since it uses less digits than its factorization.

101005511010611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216678670 (or 216678653 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 23.

Adding to 101005511010611 its reverse (116010115500101), we get a palindrome (217015626510712).

The spelling of 101005511010611 in words is "one hundred one trillion, five billion, five hundred eleven million, ten thousand, six hundred eleven".