101102000201 has 16 divisors (see below), whose sum is σ = 107056857600. Its totient is φ = 95313257088.

The previous prime is 101102000173. The next prime is 101102000213. The reversal of 101102000201 is 102000201101.

It is a cyclic number.

It is not a de Polignac number, because 101102000201 - 2¹⁰ = 101101999177 is a prime.

It is a super-2 number, since 2×101102000201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102000221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4176605 + ... + 4200741.

It is an arithmetic number, because the mean of its divisors is an integer number (6691053600).

Almost surely, 2^101102000201 is an apocalyptic number.

It is an amenable number.

101102000201 is a deficient number, since it is larger than the sum of its proper divisors (5954857399).

101102000201 is a wasteful number, since it uses less digits than its factorization.

101102000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27568.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101102000201 its reverse (102000201101), we get a palindrome (203102201302).

Subtracting 101102000201 from its reverse (102000201101), we obtain a square (898200900 = 29970²).

It can be divided in two parts, 101 and 102000201, that multiplied together give a palindrome (10302020301).

The spelling of 101102000201 in words is "one hundred one billion, one hundred two million, two hundred one", and thus it is an aban number.