10001120201003 has 32 divisors (see below), whose sum is σ = 10481350150656. Its totient is φ = 9534206642688.

The previous prime is 10001120200969. The next prime is 10001120201011. The reversal of 10001120201003 is 30010202110001.

It is a cyclic number.

It is not a de Polignac number, because 10001120201003 - 2²⁸ = 10000851765547 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001120201053) 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 31 ways as a sum of consecutive naturals, for example, 342407426 + ... + 342436632.

It is an arithmetic number, because the mean of its divisors is an integer number (327542192208).

Almost surely, 2^{10001120201003} is an apocalyptic number.

10001120201003 is a deficient number, since it is larger than the sum of its proper divisors (480229949653).

10001120201003 is a wasteful number, since it uses less digits than its factorization.

10001120201003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30083.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10001120201003 its reverse (30010202110001), we get a palindrome (40011322311004).

The spelling of 10001120201003 in words is "ten trillion, one billion, one hundred twenty million, two hundred one thousand, three".