10120211122211 has 8 divisors (see below), whose sum is σ = 10176210268224. Its totient is φ = 10064212925760.

The previous prime is 10120211122163. The next prime is 10120211122321. The reversal of 10120211122211 is 11222111202101.

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-10120211122211 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 10120211122211.

It is not an unprimeable number, because it can be changed into a prime (10120211122811) 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 7 ways as a sum of consecutive naturals, for example, 39209366 + ... + 39466628.

It is an arithmetic number, because the mean of its divisors is an integer number (1272026283528).

Almost surely, 2^{10120211122211} is an apocalyptic number.

10120211122211 is a deficient number, since it is larger than the sum of its proper divisors (55999146013).

10120211122211 is a wasteful number, since it uses less digits than its factorization.

10120211122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474781.

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

Adding to 10120211122211 its reverse (11222111202101), we get a palindrome (21342322324312).

The spelling of 10120211122211 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, two hundred eleven".