202001122100200 has 96 divisors (see below), whose sum is σ = 472068072986400. Its totient is φ = 80384939792640.

The previous prime is 202001122100143. The next prime is 202001122100257. The reversal of 202001122100200 is 2001221100202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202001122100143) and next prime (202001122100257).

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, 619953727 + ... + 620279473.

It is an arithmetic number, because the mean of its divisors is an integer number (4917375760275).

Almost surely, 2^{202001122100200} is an apocalyptic number.

202001122100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202001122100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236034036493200).

202001122100200 is an abundant number, since it is smaller than the sum of its proper divisors (270066950886200).

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

202001122100200 is a wasteful number, since it uses less digits than its factorization.

202001122100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341699 (or 341690 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202001122100200 its reverse (2001221100202), we get a palindrome (204002343200402).

The spelling of 202001122100200 in words is "two hundred two trillion, one billion, one hundred twenty-two million, one hundred thousand, two hundred".