200100201010121 has 48 divisors (see below), whose sum is σ = 210918528040464. Its totient is φ = 189754794657792.

The previous prime is 200100201010117. The next prime is 200100201010139. The reversal of 200100201010121 is 121010102001002.

It can be written as a sum of positive squares in 8 ways, for example, as 7138541958025 + 192961659052096 = 2671805^2 + 13891064^2 .

It is not a de Polignac number, because 200100201010121 - 2² = 200100201010117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200100201018121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4255888205 + ... + 4255935221.

It is an arithmetic number, because the mean of its divisors is an integer number (4394136000843).

Almost surely, 2^{200100201010121} is an apocalyptic number.

It is an amenable number.

200100201010121 is a deficient number, since it is larger than the sum of its proper divisors (10818327030343).

200100201010121 is a wasteful number, since it uses less digits than its factorization.

200100201010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47610 (or 47567 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200100201010121 its reverse (121010102001002), we get a palindrome (321110303011123).

The spelling of 200100201010121 in words is "two hundred trillion, one hundred billion, two hundred one million, ten thousand, one hundred twenty-one".