10012001100101 has 16 divisors (see below), whose sum is σ = 13442686793088. Its totient is φ = 7201439352000.

The previous prime is 10012001100053. The next prime is 10012001100121. The reversal of 10012001100101 is 10100110021001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10012001100101 - 2²² = 10011996905797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012001100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5000998550 + ... + 5001000551.

It is an arithmetic number, because the mean of its divisors is an integer number (840167924568).

Almost surely, 2^{10012001100101} is an apocalyptic number.

10012001100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012001100101 is a deficient number, since it is larger than the sum of its proper divisors (3430685692987).

10012001100101 is a wasteful number, since it uses less digits than its factorization.

10012001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001999132.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10012001100101 its reverse (10100110021001), we get a palindrome (20112111121102).

The spelling of 10012001100101 in words is "ten trillion, twelve billion, one million, one hundred thousand, one hundred one".