101012110201 has 8 divisors (see below), whose sum is σ = 103143262824. Its totient is φ = 98901158400.

The previous prime is 101012110189. The next prime is 101012110219. The reversal of 101012110201 is 102011210101.

It can be written as a sum of positive squares in 4 ways, for example, as 54709677801 + 46302432400 = 233901^2 + 215180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101012110201 - 2²⁷ = 100877892473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012110601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5040100 + ... + 5060101.

It is an arithmetic number, because the mean of its divisors is an integer number (12892907853).

Almost surely, 2^101012110201 is an apocalyptic number.

It is an amenable number.

101012110201 is a deficient number, since it is larger than the sum of its proper divisors (2131152623).

101012110201 is a wasteful number, since it uses less digits than its factorization.

101012110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100411.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101012110201 its reverse (102011210101), we get a palindrome (203023320302).

The spelling of 101012110201 in words is "one hundred one billion, twelve million, one hundred ten thousand, two hundred one".