202001323100100 has 72 divisors (see below), whose sum is σ = 584461808300160. Its totient is φ = 53866591217280.

The previous prime is 202001323100053. The next prime is 202001323100201. The reversal of 202001323100100 is 1001323100202.

202001323100100 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202001323100100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36051414 + ... + 41275986.

It is an arithmetic number, because the mean of its divisors is an integer number (8117525115280).

Almost surely, 2^{202001323100100} is an apocalyptic number.

202001323100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001323100100 is an abundant number, since it is smaller than the sum of its proper divisors (382460485200060).

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

202001323100100 is a wasteful number, since it uses less digits than its factorization.

202001323100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353469 (or 5353462 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 202001323100100 its reverse (1001323100202), we get a palindrome (203002646200302).

The spelling of 202001323100100 in words is "two hundred two trillion, one billion, three hundred twenty-three million, one hundred thousand, one hundred".