202221010000100 has 1152 divisors, whose sum is σ = 580227396403200. Its totient is φ = 59467364352000.

The previous prime is 202221010000043. The next prime is 202221010000111. The reversal of 202221010000100 is 1000010122202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 237070351274 + ... + 237070352126.

Almost surely, 2^{202221010000100} is an apocalyptic number.

202221010000100 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 202221010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290113698201600).

202221010000100 is an abundant number, since it is smaller than the sum of its proper divisors (378006386403100).

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

202221010000100 is a wasteful number, since it uses less digits than its factorization.

202221010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202221010000100 its reverse (1000010122202), we get a palindrome (203221020122302).

The spelling of 202221010000100 in words is "two hundred two trillion, two hundred twenty-one billion, ten million, one hundred", and thus it is an aban number.