101111010010011 has 8 divisors (see below), whose sum is σ = 149794088903760. Its totient is φ = 67407340006656.

The previous prime is 101111010009913. The next prime is 101111010010057. The reversal of 101111010010011 is 110010010111101.

It is not a de Polignac number, because 101111010010011 - 2¹⁹ = 101111009485723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111010009975 and 101111010010002.

It is not an unprimeable number, because it can be changed into a prime (101111010010511) 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 7 ways as a sum of consecutive naturals, for example, 1872426111270 + ... + 1872426111323.

It is an arithmetic number, because the mean of its divisors is an integer number (18724261112970).

Almost surely, 2^{101111010010011} is an apocalyptic number.

101111010010011 is a deficient number, since it is larger than the sum of its proper divisors (48683078893749).

101111010010011 is an equidigital number, since it uses as much as digits as its factorization.

101111010010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744852222602 (or 3744852222596 counting only the distinct ones).

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

Adding to 101111010010011 its reverse (110010010111101), we get a palindrome (211121020121112).

The spelling of 101111010010011 in words is "one hundred one trillion, one hundred eleven billion, ten million, ten thousand, eleven".