10100110012001 has 8 divisors (see below), whose sum is σ = 10695125013120. Its totient is φ = 9505193997888.

The previous prime is 10100110011983. The next prime is 10100110012019. The reversal of 10100110012001 is 10021001100101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100110011983) and next prime (10100110012019).

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

It is a cyclic number.

It is not a de Polignac number, because 10100110012001 - 2¹⁸ = 10100109749857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100110012001.

It is not an unprimeable number, because it can be changed into a prime (10100110002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24536621 + ... + 24944858.

It is an arithmetic number, because the mean of its divisors is an integer number (1336890626640).

Almost surely, 2^{10100110012001} is an apocalyptic number.

It is an amenable number.

10100110012001 is a deficient number, since it is larger than the sum of its proper divisors (595015001119).

10100110012001 is a wasteful number, since it uses less digits than its factorization.

10100110012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49493503.

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

Adding to 10100110012001 its reverse (10021001100101), we get a palindrome (20121111112102).

The spelling of 10100110012001 in words is "ten trillion, one hundred billion, one hundred ten million, twelve thousand, one".