10001200221119 has 16 divisors (see below), whose sum is σ = 10146257771520. Its totient is φ = 9857097925920.

The previous prime is 10001200221107. The next prime is 10001200221157. The reversal of 10001200221119 is 91112200210001.

It is a cyclic number.

It is not a de Polignac number, because 10001200221119 - 2⁸ = 10001200220863 is a prime.

It is a super-2 number, since 2×10001200221119² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001200221119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001200220119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62921504 + ... + 63080250.

It is an arithmetic number, because the mean of its divisors is an integer number (634141110720).

Almost surely, 2^{10001200221119} is an apocalyptic number.

10001200221119 is a deficient number, since it is larger than the sum of its proper divisors (145057550401).

10001200221119 is a wasteful number, since it uses less digits than its factorization.

10001200221119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161750.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10001200221119 in words is "ten trillion, one billion, two hundred million, two hundred twenty-one thousand, one hundred nineteen".