102213793540224 has 96 divisors (see below), whose sum is σ = 297043025036940. Its totient is φ = 33733925222400.

The previous prime is 102213793540163. The next prime is 102213793540247. The reversal of 102213793540224 is 422045397312201.

102213793540224 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 3 + 79 + 354 + 0 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80184288066624 + 22029505473600 = 8954568^2 + 4693560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×102213793540224² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102213793540224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439127467 + ... + 439360170.

Almost surely, 2^{102213793540224} is an apocalyptic number.

It is an amenable number.

102213793540224 is an abundant number, since it is smaller than the sum of its proper divisors (194829231496716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102213793540224 is a wasteful number, since it uses less digits than its factorization.

102213793540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878487758 (or 878487743 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 102213793540224 in words is "one hundred two trillion, two hundred thirteen billion, seven hundred ninety-three million, five hundred forty thousand, two hundred twenty-four".