10201020112001 has 4 divisors (see below), whose sum is σ = 10212923286852. Its totient is φ = 10189116937152.

The previous prime is 10201020111943. The next prime is 10201020112009. The reversal of 10201020112001 is 10021102010201.

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 8250595588225 + 1950424523776 = 2872385^2 + 1396576^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201020112001 - 2¹⁰ = 10201020110977 is a prime.

It is a super-2 number, since 2×10201020112001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201020112009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5951586140 + ... + 5951587853.

It is an arithmetic number, because the mean of its divisors is an integer number (2553230821713).

Almost surely, 2^{10201020112001} is an apocalyptic number.

It is an amenable number.

10201020112001 is a deficient number, since it is larger than the sum of its proper divisors (11903174851).

10201020112001 is an equidigital number, since it uses as much as digits as its factorization.

10201020112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11903174850.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10201020112001 its reverse (10021102010201), we get a palindrome (20222122122202).

The spelling of 10201020112001 in words is "ten trillion, two hundred one billion, twenty million, one hundred twelve thousand, one".