10022545024002 has 96 divisors (see below), whose sum is σ = 24957998208000. Its totient is φ = 2847416229504.

The previous prime is 10022545023979. The next prime is 10022545024027. The reversal of 10022545024002 is 20042054522001.

10022545024002 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 254 + 5 + 0 + 2 + 400 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43547124 + ... + 43776672.

It is an arithmetic number, because the mean of its divisors is an integer number (259979148000).

Almost surely, 2^{10022545024002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022545024002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478999104000).

10022545024002 is an abundant number, since it is smaller than the sum of its proper divisors (14935453183998).

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

10022545024002 is a wasteful number, since it uses less digits than its factorization.

10022545024002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231520 (or 231517 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 10022545024002 its reverse (20042054522001), we get a palindrome (30064599546003).

The spelling of 10022545024002 in words is "ten trillion, twenty-two billion, five hundred forty-five million, twenty-four thousand, two".