103200313122211 has 32 divisors (see below), whose sum is σ = 110463969853440. Its totient is φ = 96251954448000.

The previous prime is 103200313122119. The next prime is 103200313122223. The reversal of 103200313122211 is 112221313002301.

It is a cyclic number.

It is not a de Polignac number, because 103200313122211 - 2⁹ = 103200313121699 is a prime.

It is a super-3 number, since 3×103200313122211³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103200313122241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125705886 + ... + 126524188.

It is an arithmetic number, because the mean of its divisors is an integer number (3451999057920).

Almost surely, 2^{103200313122211} is an apocalyptic number.

103200313122211 is a deficient number, since it is larger than the sum of its proper divisors (7263656731229).

103200313122211 is a wasteful number, since it uses less digits than its factorization.

103200313122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819747.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 103200313122211 its reverse (112221313002301), we get a palindrome (215421626124512).

The spelling of 103200313122211 in words is "one hundred three trillion, two hundred billion, three hundred thirteen million, one hundred twenty-two thousand, two hundred eleven".