101200202020 has 24 divisors (see below), whose sum is σ = 225021626424. Its totient is φ = 38098899456.

The previous prime is 101200201997. The next prime is 101200202027. The reversal of 101200202020 is 20202002101.

It can be written as a sum of positive squares in 4 ways, for example, as 43780540644 + 57419661376 = 209238^2 + 239624^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

101200202020 is a modest number, since divided by 202020 gives 101200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101200201988 and 101200202006.

It is not an unprimeable number, because it can be changed into a prime (101200202027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148823487 + ... + 148824166.

It is an arithmetic number, because the mean of its divisors is an integer number (9375901101).

Almost surely, 2^101200202020 is an apocalyptic number.

101200202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200202020 is an abundant number, since it is smaller than the sum of its proper divisors (123821424404).

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

101200202020 is a wasteful number, since it uses less digits than its factorization.

101200202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297647679 (or 297647677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 101200202020 its reverse (20202002101), we get a palindrome (121402204121).

The spelling of 101200202020 in words is "one hundred one billion, two hundred million, two hundred two thousand, twenty".