10012120120211 has 48 divisors (see below), whose sum is σ = 11453618018304. Its totient is φ = 8677694592000.

The previous prime is 10012120120201. The next prime is 10012120120259. The reversal of 10012120120211 is 11202102121001.

It is not a de Polignac number, because 10012120120211 - 2¹⁰ = 10012120119187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012120120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176093491 + ... + 1176102003.

It is an arithmetic number, because the mean of its divisors is an integer number (238617042048).

Almost surely, 2^{10012120120211} is an apocalyptic number.

10012120120211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10012120120211 is a deficient number, since it is larger than the sum of its proper divisors (1441497898093).

10012120120211 is a wasteful number, since it uses less digits than its factorization.

10012120120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012120120211 its reverse (11202102121001), we get a palindrome (21214222241212).

The spelling of 10012120120211 in words is "ten trillion, twelve billion, one hundred twenty million, one hundred twenty thousand, two hundred eleven".