10120112101201 has 12 divisors (see below), whose sum is σ = 10511847539712. Its totient is φ = 9742381005000.

The previous prime is 10120112101193. The next prime is 10120112101207. The reversal of 10120112101201 is 10210121102101.

It is a happy number.

It is not a de Polignac number, because 10120112101201 - 2³ = 10120112101193 is a prime.

It is a super-3 number, since 3×10120112101201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120112101207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27384025 + ... + 27751126.

It is an arithmetic number, because the mean of its divisors is an integer number (875987294976).

Almost surely, 2^{10120112101201} is an apocalyptic number.

It is an amenable number.

10120112101201 is a deficient number, since it is larger than the sum of its proper divisors (391735438511).

10120112101201 is an equidigital number, since it uses as much as digits as its factorization.

10120112101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55135404 (or 55135373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10120112101201 its reverse (10210121102101), we get a palindrome (20330233203302).

The spelling of 10120112101201 in words is "ten trillion, one hundred twenty billion, one hundred twelve million, one hundred one thousand, two hundred one".