101103210101 has 16 divisors (see below), whose sum is σ = 107279883648. Its totient is φ = 94952256000.

The previous prime is 101103210079. The next prime is 101103210107. The reversal of 101103210101 is 101012301101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101103210101 - 2¹⁴ = 101103193717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103210107) 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 15 ways as a sum of consecutive naturals, for example, 21735626 + ... + 21740276.

It is an arithmetic number, because the mean of its divisors is an integer number (6704992728).

Almost surely, 2^101103210101 is an apocalyptic number.

It is an amenable number.

101103210101 is a deficient number, since it is larger than the sum of its proper divisors (6176673547).

101103210101 is a wasteful number, since it uses less digits than its factorization.

101103210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101103210101 its reverse (101012301101), we get a palindrome (202115511202).

The spelling of 101103210101 in words is "one hundred one billion, one hundred three million, two hundred ten thousand, one hundred one".