10012121211 has 16 divisors (see below), whose sum is σ = 13909190400. Its totient is φ = 6398212128.

The previous prime is 10012121159. The next prime is 10012121267. The reversal of 10012121211 is 11212121001.

10012121211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012121211 - 2¹⁰ = 10012120187 is a prime.

It is a super-2 number, since 2×10012121211² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10012121411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401871 + ... + 426056.

It is an arithmetic number, because the mean of its divisors is an integer number (869324400).

Almost surely, 2^10012121211 is an apocalyptic number.

10012121211 is a deficient number, since it is larger than the sum of its proper divisors (3897069189).

10012121211 is a wasteful number, since it uses less digits than its factorization.

10012121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828098.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10012121211 its reverse (11212121001), we get a palindrome (21224242212).

It can be divided in two parts, 1001 and 2121211, that added together give a palindrome (2122212).

The spelling of 10012121211 in words is "ten billion, twelve million, one hundred twenty-one thousand, two hundred eleven".