10121112221201 has 8 divisors (see below), whose sum is σ = 10215976063680. Its totient is φ = 10026253453168.

The previous prime is 10121112221153. The next prime is 10121112221263. The reversal of 10121112221201 is 10212221112101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121112221201 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 10121112221201.

It is not an unprimeable number, because it can be changed into a prime (10121112227201) 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, 2799995 + ... + 5299263.

It is an arithmetic number, because the mean of its divisors is an integer number (1276997007960).

Almost surely, 2^{10121112221201} is an apocalyptic number.

It is an amenable number.

10121112221201 is a deficient number, since it is larger than the sum of its proper divisors (94863842479).

10121112221201 is a wasteful number, since it uses less digits than its factorization.

10121112221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537223.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10121112221201 its reverse (10212221112101), we get a palindrome (20333333333302).

The spelling of 10121112221201 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred one".