10200112221221 has 8 divisors (see below), whose sum is σ = 11022226809720. Its totient is φ = 9383353428672.

The previous prime is 10200112221151. The next prime is 10200112221223. The reversal of 10200112221221 is 12212221100201.

It can be written as a sum of positive squares in 4 ways, for example, as 325340188996 + 9874772032225 = 570386^2 + 3142415^2 .

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 10200112221221 - 2²² = 10200108026917 is a prime.

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 10200112221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200112221223) 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, 1338945026 + ... + 1338952643.

It is an arithmetic number, because the mean of its divisors is an integer number (1377778351215).

Almost surely, 2^{10200112221221} is an apocalyptic number.

It is an amenable number.

10200112221221 is a deficient number, since it is larger than the sum of its proper divisors (822114588499).

10200112221221 is a wasteful number, since it uses less digits than its factorization.

10200112221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677897975.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10200112221221 its reverse (12212221100201), we get a palindrome (22412333321422).

The spelling of 10200112221221 in words is "ten trillion, two hundred billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".