10114411101201 has 64 divisors (see below), whose sum is σ = 17207817753600. Its totient is φ = 5806996272000.

The previous prime is 10114411101187. The next prime is 10114411101203. The reversal of 10114411101201 is 10210111441101.

It is a happy number.

10114411101201 is a `hidden beast` number, since 1 + 0 + 11 + 441 + 1 + 10 + 1 + 201 = 666.

It is not a de Polignac number, because 10114411101201 - 2¹⁰ = 10114411100177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10114411101203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134271390 + ... + 134346696.

It is an arithmetic number, because the mean of its divisors is an integer number (268872152400).

Almost surely, 2^{10114411101201} is an apocalyptic number.

10114411101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10114411101201 is a deficient number, since it is larger than the sum of its proper divisors (7093406652399).

10114411101201 is a wasteful number, since it uses less digits than its factorization.

10114411101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99147 (or 99141 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10114411101201 its reverse (10210111441101), we get a palindrome (20324522542302).

The spelling of 10114411101201 in words is "ten trillion, one hundred fourteen billion, four hundred eleven million, one hundred one thousand, two hundred one".