10201122112211 has 8 divisors (see below), whose sum is σ = 10665080361504. Its totient is φ = 9738866463040.

The previous prime is 10201122112199. The next prime is 10201122112229. The reversal of 10201122112211 is 11221122110201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201122112211 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 10201122112211.

It is not an unprimeable number, because it can be changed into a prime (10201122112261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425637776 + ... + 425661741.

It is an arithmetic number, because the mean of its divisors is an integer number (1333135045188).

Almost surely, 2^{10201122112211} is an apocalyptic number.

10201122112211 is a deficient number, since it is larger than the sum of its proper divisors (463958249293).

10201122112211 is an equidigital number, since it uses as much as digits as its factorization.

10201122112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851300061.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10201122112211 its reverse (11221122110201), we get a palindrome (21422244222412).

The spelling of 10201122112211 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred eleven".