10214224004007 has 64 divisors (see below), whose sum is σ = 16022287296000. Its totient is φ = 6413172537600.

The previous prime is 10214224003987. The next prime is 10214224004051. The reversal of 10214224004007 is 70040042241201.

10214224004007 is a `hidden beast` number, since 1 + 0 + 2 + 14 + 2 + 240 + 0 + 400 + 7 = 666.

It is not a de Polignac number, because 10214224004007 - 2¹¹ = 10214224001959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214224004207) 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, 356366257 + ... + 356394917.

It is an arithmetic number, because the mean of its divisors is an integer number (250348239000).

Almost surely, 2^{10214224004007} is an apocalyptic number.

10214224004007 is a deficient number, since it is larger than the sum of its proper divisors (5808063291993).

10214224004007 is a wasteful number, since it uses less digits than its factorization.

10214224004007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32749 (or 32743 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 10214224004007 its reverse (70040042241201), we get a palindrome (80254266245208).

The spelling of 10214224004007 in words is "ten trillion, two hundred fourteen billion, two hundred twenty-four million, four thousand, seven".