101200100100200 has 48 divisors (see below), whose sum is σ = 235460610082860. Its totient is φ = 40450727808000.

The previous prime is 101200100100149. The next prime is 101200100100217. The reversal of 101200100100200 is 2001001002101.

It can be written as a sum of positive squares in 6 ways, for example, as 34700087299684 + 66500012800516 = 5890678^2 + 8154754^2 .

It is a super-4 number, since 4×101200100100200⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182924561 + ... + 183476960.

Almost surely, 2^{101200100100200} is an apocalyptic number.

101200100100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200100100200 is an abundant number, since it is smaller than the sum of its proper divisors (134260509982660).

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

101200100100200 is a wasteful number, since it uses less digits than its factorization.

101200100100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366402918 (or 366402909 counting only the distinct ones).

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

Adding to 101200100100200 its reverse (2001001002101), we get a palindrome (103201101102301).

The spelling of 101200100100200 in words is "one hundred one trillion, two hundred billion, one hundred million, one hundred thousand, two hundred".