10213121013001 has 16 divisors (see below), whose sum is σ = 10368946598400. Its totient is φ = 10057632076800.

The previous prime is 10213121012987. The next prime is 10213121013023. The reversal of 10213121013001 is 10031012131201.

It is a happy number.

10213121013001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10213121013001 - 2⁷ = 10213121012873 is a prime.

It is a super-2 number, since 2×10213121013001² (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 (10213121013041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513496065 + ... + 513515953.

It is an arithmetic number, because the mean of its divisors is an integer number (648059162400).

Almost surely, 2^{10213121013001} is an apocalyptic number.

It is an amenable number.

10213121013001 is a deficient number, since it is larger than the sum of its proper divisors (155825585399).

10213121013001 is a wasteful number, since it uses less digits than its factorization.

10213121013001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27960.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10213121013001 its reverse (10031012131201), we get a palindrome (20244133144202).

The spelling of 10213121013001 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-one million, thirteen thousand, one".