10101211101 has 6 divisors (see below), whose sum is σ = 14590638270. Its totient is φ = 6734140728.

The previous prime is 10101211069. The next prime is 10101211103. The reversal of 10101211101 is 10111210101.

It can be written as a sum of positive squares in only one way, i.e., 5986116900 + 4115094201 = 77370^2 + 64149^2 .

It is not a de Polignac number, because 10101211101 - 2⁵ = 10101211069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122356789 = 10101211101 / (1 + 0 + 1 + 0 + 1 + 2 + 1 + 1 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101211103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561178386 + ... + 561178403.

It is an arithmetic number, because the mean of its divisors is an integer number (2431773045).

Almost surely, 2^10101211101 is an apocalyptic number.

It is an amenable number.

10101211101 is a deficient number, since it is larger than the sum of its proper divisors (4489427169).

10101211101 is a wasteful number, since it uses less digits than its factorization.

10101211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122356795 (or 1122356792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101211101 its reverse (10111210101), we get a palindrome (20212421202).

The spelling of 10101211101 in words is "ten billion, one hundred one million, two hundred eleven thousand, one hundred one".