11000001010010 has 32 divisors (see below), whose sum is σ = 20125826253072. Its totient is φ = 4327603822080.

The previous prime is 11000001009979. The next prime is 11000001010021. The reversal of 11000001010010 is 1001010000011.

It can be written as a sum of positive squares in 8 ways, for example, as 4138990871401 + 6861010138609 = 2034451^2 + 2619353^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 11000001009976 and 11000001010003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9552632 + ... + 10642028.

Almost surely, 2^{11000001010010} is an apocalyptic number.

11000001010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000001010010 is a deficient number, since it is larger than the sum of its proper divisors (9125825243062).

11000001010010 is a wasteful number, since it uses less digits than its factorization.

11000001010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106018.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11000001010010 its reverse (1001010000011), we get a palindrome (12001011010021).

The spelling of 11000001010010 in words is "eleven trillion, one million, ten thousand, ten".