101102101200200 has 48 divisors (see below), whose sum is σ = 236243603400000. Its totient is φ = 40237620160320.

The previous prime is 101102101200181. The next prime is 101102101200209. The reversal of 101102101200200 is 2002101201101.

It is not an unprimeable number, because it can be changed into a prime (101102101200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1270087100 + ... + 1270166699.

It is an arithmetic number, because the mean of its divisors is an integer number (4921741737500).

Almost surely, 2^{101102101200200} is an apocalyptic number.

101102101200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102101200200 is an abundant number, since it is smaller than the sum of its proper divisors (135141502199800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101102101200200 is a wasteful number, since it uses less digits than its factorization.

101102101200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540254014 (or 2540254005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102101200200 its reverse (2002101201101), we get a palindrome (103104202401301).

Subtracting from 101102101200200 its reverse (2002101201101), we obtain a palindrome (99099999999099).

The spelling of 101102101200200 in words is "one hundred one trillion, one hundred two billion, one hundred one million, two hundred thousand, two hundred".