202001002222100 has 144 divisors (see below), whose sum is σ = 471255208569600. Its totient is φ = 74915082385920.

The previous prime is 202001002222079. The next prime is 202001002222111. The reversal of 202001002222100 is 1222200100202.

202001002222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2077873094 + ... + 2077970306.

Almost surely, 2^{202001002222100} is an apocalyptic number.

202001002222100 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 202001002222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235627604284800).

202001002222100 is an abundant number, since it is smaller than the sum of its proper divisors (269254206347500).

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

202001002222100 is a wasteful number, since it uses less digits than its factorization.

202001002222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120562 (or 120555 counting only the distinct ones).

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

Adding to 202001002222100 its reverse (1222200100202), we get a palindrome (203223202322302).

The spelling of 202001002222100 in words is "two hundred two trillion, one billion, two million, two hundred twenty-two thousand, one hundred".