100012000224213 has 24 divisors (see below), whose sum is σ = 180108190881216. Its totient is φ = 51954285830400.

The previous prime is 100012000224211. The next prime is 100012000224239. The reversal of 100012000224213 is 312422000210001.

It is a happy number.

100012000224213 is a `hidden beast` number, since 100 + 0 + 120 + 0 + 0 + 22 + 421 + 3 = 666.

It is not a de Polignac number, because 100012000224213 - 2¹ = 100012000224211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012000224211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72158729628 + ... + 72158731013.

It is an arithmetic number, because the mean of its divisors is an integer number (7504507953384).

Almost surely, 2^{100012000224213} is an apocalyptic number.

It is an amenable number.

100012000224213 is a deficient number, since it is larger than the sum of its proper divisors (80096190657003).

100012000224213 is a wasteful number, since it uses less digits than its factorization.

100012000224213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144317460665 (or 144317460662 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100012000224213 its reverse (312422000210001), we get a palindrome (412434000434214).

The spelling of 100012000224213 in words is "one hundred trillion, twelve billion, two hundred twenty-four thousand, two hundred thirteen".