102205521121224 has 64 divisors (see below), whose sum is σ = 256391367120000. Its totient is φ = 33951503461376.

The previous prime is 102205521121169. The next prime is 102205521121229. The reversal of 102205521121224 is 422121125502201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102205521121191 and 102205521121200.

It is not an unprimeable number, because it can be changed into a prime (102205521121229) 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, 400689472 + ... + 400944464.

It is an arithmetic number, because the mean of its divisors is an integer number (4006115111250).

Almost surely, 2^{102205521121224} is an apocalyptic number.

It is an amenable number.

102205521121224 is an abundant number, since it is smaller than the sum of its proper divisors (154185845998776).

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

102205521121224 is a wasteful number, since it uses less digits than its factorization.

102205521121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312294 (or 312290 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 102205521121224 its reverse (422121125502201), we get a palindrome (524326646623425).

The spelling of 102205521121224 in words is "one hundred two trillion, two hundred five billion, five hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-four".