10001101000010 has 64 divisors (see below), whose sum is σ = 18635822945280. Its totient is φ = 3862590900480.

The previous prime is 10001100999997. The next prime is 10001101000087. The reversal of 10001101000010 is 1000010110001.

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 = 10001100999958 and 10001101000003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7737059 + ... + 8936681.

It is an arithmetic number, because the mean of its divisors is an integer number (291184733520).

Almost surely, 2^{10001101000010} is an apocalyptic number.

10001101000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001101000010 is a deficient number, since it is larger than the sum of its proper divisors (8634721945270).

10001101000010 is a wasteful number, since it uses less digits than its factorization.

10001101000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199943.

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

Adding to 10001101000010 its reverse (1000010110001), we get a palindrome (11001111110011).

The spelling of 10001101000010 in words is "ten trillion, one billion, one hundred one million, ten", and thus it is an aban number.