202102220100200 has 192 divisors, whose sum is σ = 548425091404800. Its totient is φ = 67835268864000.

The previous prime is 202102220100181. The next prime is 202102220100239. The reversal of 202102220100200 is 2001022201202.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 4554857 + ... + 20614343.

It is an arithmetic number, because the mean of its divisors is an integer number (2856380684400).

Almost surely, 2^{202102220100200} is an apocalyptic number.

202102220100200 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 202102220100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274212545702400).

202102220100200 is an abundant number, since it is smaller than the sum of its proper divisors (346322871304600).

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

202102220100200 is a wasteful number, since it uses less digits than its factorization.

202102220100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16059700 (or 16059691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202102220100200 its reverse (2001022201202), we get a palindrome (204103242301402).

The spelling of 202102220100200 in words is "two hundred two trillion, one hundred two billion, two hundred twenty million, one hundred thousand, two hundred".