10201001220113 has 32 divisors (see below), whose sum is σ = 11311114320000. Its totient is φ = 9122626321920.

The previous prime is 10201001220079. The next prime is 10201001220119. The reversal of 10201001220113 is 31102210010201.

It is a cyclic number.

It is not a de Polignac number, because 10201001220113 - 2¹⁰ = 10201001219089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201001220119) 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, 419281733 + ... + 419306061.

It is an arithmetic number, because the mean of its divisors is an integer number (353472322500).

Almost surely, 2^{10201001220113} is an apocalyptic number.

It is an amenable number.

10201001220113 is a deficient number, since it is larger than the sum of its proper divisors (1110113099887).

10201001220113 is a wasteful number, since it uses less digits than its factorization.

10201001220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26945.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10201001220113 its reverse (31102210010201), we get a palindrome (41303211230314).

The spelling of 10201001220113 in words is "ten trillion, two hundred one billion, one million, two hundred twenty thousand, one hundred thirteen".