10224001040211 has 64 divisors (see below), whose sum is σ = 18063911024640. Its totient is φ = 5588025252480.

The previous prime is 10224001040191. The next prime is 10224001040263. The reversal of 10224001040211 is 11204010042201.

10224001040211 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 400 + 10 + 40 + 211 = 666.

It is not a de Polignac number, because 10224001040211 - 2²⁵ = 10223967485779 is a prime.

It is a super-2 number, since 2×10224001040211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10224001040411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142080501 + ... + 142152441.

It is an arithmetic number, because the mean of its divisors is an integer number (282248609760).

Almost surely, 2^{10224001040211} is an apocalyptic number.

10224001040211 is a deficient number, since it is larger than the sum of its proper divisors (7839909984429).

10224001040211 is a wasteful number, since it uses less digits than its factorization.

10224001040211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104673 (or 104667 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10224001040211 its reverse (11204010042201), we get a palindrome (21428011082412).

The spelling of 10224001040211 in words is "ten trillion, two hundred twenty-four billion, one million, forty thousand, two hundred eleven".