10201101111201 has 256 divisors, whose sum is σ = 18826678886400. Its totient is φ = 4743484416000.

The previous prime is 10201101111191. The next prime is 10201101111217. The reversal of 10201101111201 is 10211110110201.

It is not a de Polignac number, because 10201101111201 - 2⁷ = 10201101111073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201101111001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2942340670 + ... + 2942344136.

It is an arithmetic number, because the mean of its divisors is an integer number (73541714400).

Almost surely, 2^{10201101111201} is an apocalyptic number.

10201101111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201101111201 is a deficient number, since it is larger than the sum of its proper divisors (8625577775199).

10201101111201 is a wasteful number, since it uses less digits than its factorization.

10201101111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10201101111201 its reverse (10211110110201), we get a palindrome (20412211221402).

The spelling of 10201101111201 in words is "ten trillion, two hundred one billion, one hundred one million, one hundred eleven thousand, two hundred one".