10200211119 has 64 divisors (see below), whose sum is σ = 17580774400. Its totient is φ = 5724411264.

The previous prime is 10200211079. The next prime is 10200211129. The reversal of 10200211119 is 91111200201.

It is a happy number.

It is not a de Polignac number, because 10200211119 - 2⁷ = 10200210991 is a prime.

It is a super-2 number, since 2×10200211119² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200211129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5026197 + ... + 5028225.

It is an arithmetic number, because the mean of its divisors is an integer number (274699600).

Almost surely, 2^10200211119 is an apocalyptic number.

10200211119 is a deficient number, since it is larger than the sum of its proper divisors (7380563281).

10200211119 is a wasteful number, since it uses less digits than its factorization.

10200211119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 10200211119 in words is "ten billion, two hundred million, two hundred eleven thousand, one hundred nineteen".