10000011001110 has 128 divisors (see below), whose sum is σ = 26391492489600. Its totient is φ = 2410099163136.

The previous prime is 10000011001061. The next prime is 10000011001117. The reversal of 10000011001110 is 1110011000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000011001117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2618466 + ... + 5182314.

It is an arithmetic number, because the mean of its divisors is an integer number (206183535075).

Almost surely, 2^{10000011001110} is an apocalyptic number.

10000011001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000011001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195746244800).

10000011001110 is an abundant number, since it is smaller than the sum of its proper divisors (16391481488490).

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

10000011001110 is a wasteful number, since it uses less digits than its factorization.

10000011001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564082.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10000011001110 its reverse (1110011000001), we get a palindrome (11110022001111).

The spelling of 10000011001110 in words is "ten trillion, eleven million, one thousand, one hundred ten".