10211320112001 has 16 divisors (see below), whose sum is σ = 13745872670400. Its totient is φ = 6742189882368.

The previous prime is 10211320111987. The next prime is 10211320112003. The reversal of 10211320112001 is 10021102311201.

It is not a de Polignac number, because 10211320112001 - 2¹⁹ = 10211319587713 is a prime.

It is a super-2 number, since 2×10211320112001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211320112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2841496 + ... + 5338233.

It is an arithmetic number, because the mean of its divisors is an integer number (859117041900).

Almost surely, 2^{10211320112001} is an apocalyptic number.

It is an amenable number.

10211320112001 is a deficient number, since it is larger than the sum of its proper divisors (3534552558399).

10211320112001 is a wasteful number, since it uses less digits than its factorization.

10211320112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183728.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10211320112001 its reverse (10021102311201), we get a palindrome (20232422423202).

The spelling of 10211320112001 in words is "ten trillion, two hundred eleven billion, three hundred twenty million, one hundred twelve thousand, one".