101111101010003 has 96 divisors (see below), whose sum is σ = 122651148533760. Its totient is φ = 83050943976000.

The previous prime is 101111101009991. The next prime is 101111101010033. The reversal of 101111101010003 is 300010101111101.

It is not a de Polignac number, because 101111101010003 - 2¹⁶ = 101111100944467 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111101010033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19343999876 + ... + 19344005102.

It is an arithmetic number, because the mean of its divisors is an integer number (1277616130560).

Almost surely, 2^{101111101010003} is an apocalyptic number.

101111101010003 is a deficient number, since it is larger than the sum of its proper divisors (21540047523757).

101111101010003 is a wasteful number, since it uses less digits than its factorization.

101111101010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 101111101010003 its reverse (300010101111101), we get a palindrome (401121202121104).

The spelling of 101111101010003 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, ten thousand, three".