10001121431201 has 8 divisors (see below), whose sum is σ = 10004173670400. Its totient is φ = 9998069669280.

The previous prime is 10001121431141. The next prime is 10001121431243. The reversal of 10001121431201 is 10213412110001.

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 10001121431201 - 2¹⁸ = 10001121169057 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 10001121431201.

It is not an unprimeable number, because it can be changed into a prime (10001121431291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44279765 + ... + 44505053.

It is an arithmetic number, because the mean of its divisors is an integer number (1250521708800).

Almost surely, 2^{10001121431201} is an apocalyptic number.

It is an amenable number.

10001121431201 is a deficient number, since it is larger than the sum of its proper divisors (3052239199).

10001121431201 is an equidigital number, since it uses as much as digits as its factorization.

10001121431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238639.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10001121431201 its reverse (10213412110001), we get a palindrome (20214533541202).

The spelling of 10001121431201 in words is "ten trillion, one billion, one hundred twenty-one million, four hundred thirty-one thousand, two hundred one".