101123221111 has 16 divisors (see below), whose sum is σ = 111432964896. Its totient is φ = 91000000000.

The previous prime is 101123221099. The next prime is 101123221123. The reversal of 101123221111 is 111122321101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101123221099) and next prime (101123221123).

It is a cyclic number.

It is not a de Polignac number, because 101123221111 - 2⁵ = 101123221079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123521111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7771611 + ... + 7784611.

It is an arithmetic number, because the mean of its divisors is an integer number (6964560306).

Almost surely, 2^101123221111 is an apocalyptic number.

101123221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101123221111 is a deficient number, since it is larger than the sum of its proper divisors (10309743785).

101123221111 is a wasteful number, since it uses less digits than its factorization.

101123221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20114.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101123221111 its reverse (111122321101), we get a palindrome (212245542212).

The spelling of 101123221111 in words is "one hundred one billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred eleven".