101112001000201 has 4 divisors (see below), whose sum is σ = 101112635404804. Its totient is φ = 101111366595600.

The previous prime is 101112001000151. The next prime is 101112001000271. The reversal of 101112001000201 is 102000100211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 92194467222025 + 8917533778176 = 9601795^2 + 2986224^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112001000201 - 2¹⁷ = 101112000869129 is a prime.

It is a super-3 number, since 3×101112001000201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112001000271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316963170 + ... + 317282011.

It is an arithmetic number, because the mean of its divisors is an integer number (25278158851201).

Almost surely, 2^{101112001000201} is an apocalyptic number.

It is an amenable number.

101112001000201 is a deficient number, since it is larger than the sum of its proper divisors (634404603).

101112001000201 is an equidigital number, since it uses as much as digits as its factorization.

101112001000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634404602.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101112001000201 its reverse (102000100211101), we get a palindrome (203112101211302).

The spelling of 101112001000201 in words is "one hundred one trillion, one hundred twelve billion, one million, two hundred one", and thus it is an aban number.