200010222100 has 288 divisors, whose sum is σ = 490605599232. Its totient is φ = 70295040000.

The previous prime is 200010222091. The next prime is 200010222103. The reversal of 200010222100 is 1222010002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200010222103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738044965 + ... + 738045235.

It is an arithmetic number, because the mean of its divisors is an integer number (1703491664).

Almost surely, 2^200010222100 is an apocalyptic number.

200010222100 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 200010222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245302799616).

200010222100 is an abundant number, since it is smaller than the sum of its proper divisors (290595377132).

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

200010222100 is a wasteful number, since it uses less digits than its factorization.

200010222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200010222100 its reverse (1222010002), we get a palindrome (201232232102).

It can be divided in two parts, 2000102 and 22100, that added together give a palindrome (2022202).

The spelling of 200010222100 in words is "two hundred billion, ten million, two hundred twenty-two thousand, one hundred".