10112201222211 has 64 divisors (see below), whose sum is σ = 16416000691200. Its totient is φ = 6101229657600.

The previous prime is 10112201222197. The next prime is 10112201222219. The reversal of 10112201222211 is 11222210221101.

10112201222211 is a `hidden beast` number, since 1 + 0 + 11 + 220 + 1 + 222 + 211 = 666.

It is not a de Polignac number, because 10112201222211 - 2⁹ = 10112201221699 is a prime.

It is a super-2 number, since 2×10112201222211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10112201222219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242553610 + ... + 242595296.

It is an arithmetic number, because the mean of its divisors is an integer number (256500010800).

Almost surely, 2^{10112201222211} is an apocalyptic number.

10112201222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10112201222211 is a deficient number, since it is larger than the sum of its proper divisors (6303799468989).

10112201222211 is a wasteful number, since it uses less digits than its factorization.

10112201222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45337 (or 45331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10112201222211 its reverse (11222210221101), we get a palindrome (21334411443312).

The spelling of 10112201222211 in words is "ten trillion, one hundred twelve billion, two hundred one million, two hundred twenty-two thousand, two hundred eleven".