10001110101012 has 36 divisors (see below), whose sum is σ = 25504305857940. Its totient is φ = 3304201565952.

The previous prime is 10001110100987. The next prime is 10001110101013. The reversal of 10001110101012 is 21010101110001.

It can be written as a sum of positive squares in 2 ways, for example, as 4990693448196 + 5010416652816 = 2233986^2 + 2238396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10001110100985 and 10001110101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001110101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1229237587 + ... + 1229245722.

Almost surely, 2^{10001110101012} is an apocalyptic number.

10001110101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001110101012 is an abundant number, since it is smaller than the sum of its proper divisors (15503195756928).

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

10001110101012 is a wasteful number, since it uses less digits than its factorization.

10001110101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458483432 (or 2458483427 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001110101012 its reverse (21010101110001), we get a palindrome (31011211211013).

The spelling of 10001110101012 in words is "ten trillion, one billion, one hundred ten million, one hundred one thousand, twelve".