10100000011110 has 64 divisors (see below), whose sum is σ = 24608168976384. Its totient is φ = 2652704912000.

The previous prime is 10100000011097. The next prime is 10100000011111. The reversal of 10100000011110 is 1111000000101.

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

10100000011110 is a modest number, since divided by 11110 gives 1010 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000011111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8147274 + ... + 9304733.

It is an arithmetic number, because the mean of its divisors is an integer number (384502640256).

Almost surely, 2^{10100000011110} is an apocalyptic number.

10100000011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100000011110 is an abundant number, since it is smaller than the sum of its proper divisors (14508168965274).

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

10100000011110 is a wasteful number, since it uses less digits than its factorization.

10100000011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452309.

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

Adding to 10100000011110 its reverse (1111000000101), we get a palindrome (11211000011211).

The spelling of 10100000011110 in words is "ten trillion, one hundred billion, eleven thousand, one hundred ten".