101111000010011 has 8 divisors (see below), whose sum is σ = 101736235356624. Its totient is φ = 100485824693760.

The previous prime is 101111000009953. The next prime is 101111000010071. The reversal of 101111000010011 is 110010000111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111000010011 - 2⁴² = 96712953498907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111000010071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11626166 + ... + 18368171.

It is an arithmetic number, because the mean of its divisors is an integer number (12717029419578).

Almost surely, 2^{101111000010011} is an apocalyptic number.

101111000010011 is a deficient number, since it is larger than the sum of its proper divisors (625235346613).

101111000010011 is a wasteful number, since it uses less digits than its factorization.

101111000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30015181.

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

Adding to 101111000010011 its reverse (110010000111101), we get a palindrome (211121000121112).

The spelling of 101111000010011 in words is "one hundred one trillion, one hundred eleven billion, ten thousand, eleven".