10200221001121 has 8 divisors (see below), whose sum is σ = 10259980201224. Its totient is φ = 10140598394880.

The previous prime is 10200221001097. The next prime is 10200221001199. The reversal of 10200221001121 is 12110012200201.

It can be written as a sum of positive squares in 4 ways, for example, as 2224318702225 + 7975902298896 = 1491415^2 + 2824164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10200221001121 - 2²⁵ = 10200187446689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200221001221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33998676 + ... + 34297381.

It is an arithmetic number, because the mean of its divisors is an integer number (1282497525153).

Almost surely, 2^{10200221001121} is an apocalyptic number.

It is an amenable number.

10200221001121 is a deficient number, since it is larger than the sum of its proper divisors (59759200103).

10200221001121 is an equidigital number, since it uses as much as digits as its factorization.

10200221001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68296931.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10200221001121 its reverse (12110012200201), we get a palindrome (22310233201322).

The spelling of 10200221001121 in words is "ten trillion, two hundred billion, two hundred twenty-one million, one thousand, one hundred twenty-one".