202042102010504 has 192 divisors, whose sum is σ = 470890346572800. Its totient is φ = 80837018672256.

The previous prime is 202042102010473. The next prime is 202042102010519. The reversal of 202042102010504 is 405010201240202.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 202042102010504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511162919 + ... + 511558025.

It is an arithmetic number, because the mean of its divisors is an integer number (2452553888400).

Almost surely, 2^{202042102010504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202042102010504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235445173286400).

202042102010504 is an abundant number, since it is smaller than the sum of its proper divisors (268848244562296).

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

202042102010504 is a wasteful number, since it uses less digits than its factorization.

202042102010504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396512 (or 396501 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 202042102010504 its reverse (405010201240202), we get a palindrome (607052303250706).

The spelling of 202042102010504 in words is "two hundred two trillion, forty-two billion, one hundred two million, ten thousand, five hundred four".