101001111010011 has 12 divisors (see below), whose sum is σ = 145893682651392. Its totient is φ = 67332602174256.

The previous prime is 101001111009979. The next prime is 101001111010021. The reversal of 101001111010011 is 110010111100101.

It is not a de Polignac number, because 101001111010011 - 2⁵ = 101001111009979 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 = 101001111009975 and 101001111010002.

It is not an unprimeable number, because it can be changed into a prime (101001111010021) 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 11 ways as a sum of consecutive naturals, for example, 122218011 + ... + 123041636.

It is an arithmetic number, because the mean of its divisors is an integer number (12157806887616).

Almost surely, 2^{101001111010011} is an apocalyptic number.

101001111010011 is a deficient number, since it is larger than the sum of its proper divisors (44892571641381).

101001111010011 is a wasteful number, since it uses less digits than its factorization.

101001111010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245305410 (or 245305407 counting only the distinct ones).

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

Adding to 101001111010011 its reverse (110010111100101), we get a palindrome (211011222110112).

The spelling of 101001111010011 in words is "one hundred one trillion, one billion, one hundred eleven million, ten thousand, eleven".