211012120202121 has 48 divisors (see below), whose sum is σ = 357770818973568. Its totient is φ = 117313306732800.

The previous prime is 211012120202083. The next prime is 211012120202153. The reversal of 211012120202121 is 121202021210112.

211012120202121 is a `hidden beast` number, since 211 + 0 + 12 + 120 + 202 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-211012120202121 is a prime.

It is a super-2 number, since 2×211012120202121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211012120202094 and 211012120202103.

It is not an unprimeable number, because it can be changed into a prime (211012120202171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42105706 + ... + 46849916.

It is an arithmetic number, because the mean of its divisors is an integer number (7453558728616).

Almost surely, 2^{211012120202121} is an apocalyptic number.

211012120202121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211012120202121 is a deficient number, since it is larger than the sum of its proper divisors (146758698771447).

211012120202121 is a wasteful number, since it uses less digits than its factorization.

211012120202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763342 (or 4763339 counting only the distinct ones).

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

Adding to 211012120202121 its reverse (121202021210112), we get a palindrome (332214141412233).

The spelling of 211012120202121 in words is "two hundred eleven trillion, twelve billion, one hundred twenty million, two hundred two thousand, one hundred twenty-one".