101200101201103 has 16 divisors (see below), whose sum is σ = 104752578528000. Its totient is φ = 97651820609280.

The previous prime is 101200101201077. The next prime is 101200101201179. The reversal of 101200101201103 is 301102101002101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101200101201103 - 2⁵ = 101200101201071 is a prime.

It is a super-2 number, since 2×101200101201103² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200101201193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707062675 + ... + 707205787.

It is an arithmetic number, because the mean of its divisors is an integer number (6547036158000).

Almost surely, 2^{101200101201103} is an apocalyptic number.

101200101201103 is a deficient number, since it is larger than the sum of its proper divisors (3552477326897).

101200101201103 is a wasteful number, since it uses less digits than its factorization.

101200101201103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157602.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101200101201103 its reverse (301102101002101), we get a palindrome (402302202203204).

The spelling of 101200101201103 in words is "one hundred one trillion, two hundred billion, one hundred one million, two hundred one thousand, one hundred three".