10001100010010 has 8 divisors (see below), whose sum is σ = 18001980018036. Its totient is φ = 4000440004000.

The previous prime is 10001100009983. The next prime is 10001100010021. The reversal of 10001100010010 is 1001000110001.

It can be written as a sum of positive squares in 2 ways, for example, as 9996353213401 + 4746796609 = 3161701^2 + 68897^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

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 = 10001100009976 and 10001100010003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500055000491 + ... + 500055000510.

Almost surely, 2^{10001100010010} is an apocalyptic number.

10001100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001100010010 is a deficient number, since it is larger than the sum of its proper divisors (8000880008026).

10001100010010 is a wasteful number, since it uses less digits than its factorization.

10001100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000110001008.

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

Adding to 10001100010010 its reverse (1001000110001), we get a palindrome (11002100120011).

Subtracting from 10001100010010 its reverse (1001000110001), we obtain a palindrome (9000099900009).

The spelling of 10001100010010 in words is "ten trillion, one billion, one hundred million, ten thousand, ten".