10120122212211 has 64 divisors (see below), whose sum is σ = 17217395865600. Its totient is φ = 5810321872800.

The previous prime is 10120122212209. The next prime is 10120122212231. The reversal of 10120122212211 is 11221222102101.

10120122212211 is a `hidden beast` number, since 1 + 0 + 120 + 122 + 212 + 211 = 666.

It is not a de Polignac number, because 10120122212211 - 2¹ = 10120122212209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120122212231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230048760 + ... + 230092746.

It is an arithmetic number, because the mean of its divisors is an integer number (269021810400).

Almost surely, 2^{10120122212211} is an apocalyptic number.

10120122212211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120122212211 is a deficient number, since it is larger than the sum of its proper divisors (7097273653389).

10120122212211 is a wasteful number, since it uses less digits than its factorization.

10120122212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84797 (or 84791 counting only the distinct ones).

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

Adding to 10120122212211 its reverse (11221222102101), we get a palindrome (21341344314312).

It can be divided in two parts, 1012012 and 2212211, that added together give a palindrome (3224223).

The spelling of 10120122212211 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred eleven".