10120211221211 has 32 divisors (see below), whose sum is σ = 12618590208000. Its totient is φ = 7902534182400.

The previous prime is 10120211221193. The next prime is 10120211221229. The reversal of 10120211221211 is 11212211202101.

It is an interprime number because it is at equal distance from previous prime (10120211221193) and next prime (10120211221229).

It is not a de Polignac number, because 10120211221211 - 2¹⁰ = 10120211220187 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120211221211.

It is not an unprimeable number, because it can be changed into a prime (10120211221291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16953011 + ... + 17539811.

It is an arithmetic number, because the mean of its divisors is an integer number (394330944000).

Almost surely, 2^{10120211221211} is an apocalyptic number.

10120211221211 is a deficient number, since it is larger than the sum of its proper divisors (2498378986789).

10120211221211 is a wasteful number, since it uses less digits than its factorization.

10120211221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589299.

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

Adding to 10120211221211 its reverse (11212211202101), we get a palindrome (21332422423312).

The spelling of 10120211221211 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, two hundred eleven".