10011111001038 has 96 divisors (see below), whose sum is σ = 27629072490240. Its totient is φ = 2550375901440.

The previous prime is 10011111001037. The next prime is 10011111001061. The reversal of 10011111001038 is 83010011111001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10011111001038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011111001037) 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 47 ways as a sum of consecutive naturals, for example, 122951968 + ... + 123033363.

It is an arithmetic number, because the mean of its divisors is an integer number (287802838440).

Almost surely, 2^{10011111001038} is an apocalyptic number.

10011111001038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10011111001038 is an abundant number, since it is smaller than the sum of its proper divisors (17617961489202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011111001038 is a wasteful number, since it uses less digits than its factorization.

10011111001038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245985382 (or 245985379 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 10011111001038 its reverse (83010011111001), we get a palindrome (93021122112039).

The spelling of 10011111001038 in words is "ten trillion, eleven billion, one hundred eleven million, one thousand, thirty-eight".