101233001123111 has 16 divisors (see below), whose sum is σ = 119167521822720. Its totient is φ = 84781881901920.

The previous prime is 101233001123087. The next prime is 101233001123173. The reversal of 101233001123111 is 111321100332101.

It is a cyclic number.

It is not a de Polignac number, because 101233001123111 - 2²² = 101232996928807 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 (101233001173111) 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 15 ways as a sum of consecutive naturals, for example, 703628951 + ... + 703772808.

It is an arithmetic number, because the mean of its divisors is an integer number (7447970113920).

Almost surely, 2^{101233001123111} is an apocalyptic number.

101233001123111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101233001123111 is a deficient number, since it is larger than the sum of its proper divisors (17934520699609).

101233001123111 is a wasteful number, since it uses less digits than its factorization.

101233001123111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407402286.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101233001123111 its reverse (111321100332101), we get a palindrome (212554101455212).

The spelling of 101233001123111 in words is "one hundred one trillion, two hundred thirty-three billion, one million, one hundred twenty-three thousand, one hundred eleven".