10211212011 has 128 divisors (see below), whose sum is σ = 19427788800. Its totient is φ = 4598415360.

The previous prime is 10211212001. The next prime is 10211212091. The reversal of 10211212011 is 11021211201.

10211212011 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 10211212011 - 2⁷ = 10211211883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211212001) 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 127 ways as a sum of consecutive naturals, for example, 3220635 + ... + 3223803.

It is an arithmetic number, because the mean of its divisors is an integer number (151779600).

Almost surely, 2^10211212011 is an apocalyptic number.

10211212011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10211212011 is a deficient number, since it is larger than the sum of its proper divisors (9216576789).

10211212011 is a wasteful number, since it uses less digits than its factorization.

10211212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269.

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

Adding to 10211212011 its reverse (11021211201), we get a palindrome (21232423212).

It can be divided in two parts, 10211 and 212011, that added together give a palindrome (222222).

The spelling of 10211212011 in words is "ten billion, two hundred eleven million, two hundred twelve thousand, eleven".