10212121101 has 32 divisors (see below), whose sum is σ = 17211298048. Its totient is φ = 5241024000.

The previous prime is 10212121057. The next prime is 10212121111. The reversal of 10212121101 is 10112121201.

10212121101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10212121101 - 2¹⁰ = 10212120077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495400 + ... + 515601.

It is an arithmetic number, because the mean of its divisors is an integer number (537853064).

Almost surely, 2^10212121101 is an apocalyptic number.

It is an amenable number.

10212121101 is a deficient number, since it is larger than the sum of its proper divisors (6999176947).

10212121101 is a wasteful number, since it uses less digits than its factorization.

10212121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011061.

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

Adding to 10212121101 its reverse (10112121201), we get a palindrome (20324242302).

The spelling of 10212121101 in words is "ten billion, two hundred twelve million, one hundred twenty-one thousand, one hundred one".