200210221012100 has 36 divisors (see below), whose sum is σ = 467875885722084. Its totient is φ = 73923773911680.

The previous prime is 200210221012057. The next prime is 200210221012147. The reversal of 200210221012100 is 1210122012002.

It can be written as a sum of positive squares in 6 ways, for example, as 43864275844 + 200166356736256 = 209438^2 + 14148016^2 .

It is a super-4 number, since 4×200210221012100⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77003929859 + ... + 77003932458.

It is an arithmetic number, because the mean of its divisors is an integer number (12996552381169).

Almost surely, 2^{200210221012100} is an apocalyptic number.

200210221012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210221012100 is an abundant number, since it is smaller than the sum of its proper divisors (267665664709984).

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

200210221012100 is a wasteful number, since it uses less digits than its factorization.

200210221012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154007862344 (or 154007862337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200210221012100 its reverse (1210122012002), we get a palindrome (201420343024102).

The spelling of 200210221012100 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-one million, twelve thousand, one hundred".