101000223311 has 32 divisors (see below), whose sum is σ = 114748824960. Its totient is φ = 88197120000.

The previous prime is 101000223299. The next prime is 101000223349. The reversal of 101000223311 is 113322000101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000223311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000223361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48347555 + ... + 48349643.

It is an arithmetic number, because the mean of its divisors is an integer number (3585900780).

Almost surely, 2^101000223311 is an apocalyptic number.

101000223311 is a deficient number, since it is larger than the sum of its proper divisors (13748601649).

101000223311 is a wasteful number, since it uses less digits than its factorization.

101000223311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101000223311 its reverse (113322000101), we get a palindrome (214322223412).

The spelling of 101000223311 in words is "one hundred one billion, two hundred twenty-three thousand, three hundred eleven".