101111010000011 has 32 divisors (see below), whose sum is σ = 111646407269376. Its totient is φ = 90803815200000.

The previous prime is 101111009999999. The next prime is 101111010000023. The reversal of 101111010000011 is 110000010111101.

It is an interprime number because it is at equal distance from previous prime (101111009999999) and next prime (101111010000023).

It is a cyclic number.

It is not a de Polignac number, because 101111010000011 - 2⁶ = 101111009999947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111010000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150422110 + ... + 1150509996.

It is an arithmetic number, because the mean of its divisors is an integer number (3488950227168).

Almost surely, 2^{101111010000011} is an apocalyptic number.

101111010000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111010000011 is a deficient number, since it is larger than the sum of its proper divisors (10535397269365).

101111010000011 is a wasteful number, since it uses less digits than its factorization.

101111010000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90323.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101111010000011 its reverse (110000010111101), we get a palindrome (211111020111112).

The spelling of 101111010000011 in words is "one hundred one trillion, one hundred eleven billion, ten million, eleven", and thus it is an aban number.