101011000011111 has 6 divisors (see below), whose sum is σ = 145904777793840. Its totient is φ = 67340666674068.

The previous prime is 101011000011029. The next prime is 101011000011133. The reversal of 101011000011111 is 111110000110101.

It is not a de Polignac number, because 101011000011111 - 2¹⁹ = 101010999486823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11223444445679 = 101011000011111 / (1 + 0 + 1 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 101011000011093 and 101011000011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000011211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611722222831 + ... + 5611722222848.

It is an arithmetic number, because the mean of its divisors is an integer number (24317462965640).

Almost surely, 2^{101011000011111} is an apocalyptic number.

101011000011111 is a deficient number, since it is larger than the sum of its proper divisors (44893777782729).

101011000011111 is a wasteful number, since it uses less digits than its factorization.

101011000011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223444445685 (or 11223444445682 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011000011111 its reverse (111110000110101), we get a palindrome (212121000121212).

The spelling of 101011000011111 in words is "one hundred one trillion, eleven billion, eleven thousand, one hundred eleven".