10121200212201 has 128 divisors (see below), whose sum is σ = 15520557104640. Its totient is φ = 5821562880000.

The previous prime is 10121200212181. The next prime is 10121200212229. The reversal of 10121200212201 is 10221200212101.

It is not a de Polignac number, because 10121200212201 - 2²³ = 10121191823593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121200212401) 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 127 ways as a sum of consecutive naturals, for example, 3372607701 + ... + 3372610701.

It is an arithmetic number, because the mean of its divisors is an integer number (121254352380).

Almost surely, 2^{10121200212201} is an apocalyptic number.

It is an amenable number.

10121200212201 is a deficient number, since it is larger than the sum of its proper divisors (5399356892439).

10121200212201 is a wasteful number, since it uses less digits than its factorization.

10121200212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121200212201 its reverse (10221200212101), we get a palindrome (20342400424302).

The spelling of 10121200212201 in words is "ten trillion, one hundred twenty-one billion, two hundred million, two hundred twelve thousand, two hundred one".