10212212101 has 16 divisors (see below), whose sum is σ = 12576057088. Its totient is φ = 8075376000.

The previous prime is 10212212099. The next prime is 10212212161. The reversal of 10212212101 is 10121221201.

10212212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10212212101 - 2¹ = 10212212099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212212161) 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, 132736 + ... + 195046.

It is an arithmetic number, because the mean of its divisors is an integer number (786003568).

Almost surely, 2^10212212101 is an apocalyptic number.

It is an amenable number.

10212212101 is a deficient number, since it is larger than the sum of its proper divisors (2363844987).

10212212101 is a wasteful number, since it uses less digits than its factorization.

10212212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64132.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10212212101 its reverse (10121221201), we get a palindrome (20333433302).

It can be divided in two parts, 1021 and 2212101, that added together give a palindrome (2213122).

The spelling of 10212212101 in words is "ten billion, two hundred twelve million, two hundred twelve thousand, one hundred one".