101200200010020 has 144 divisors (see below), whose sum is σ = 314467084254960. Its totient is φ = 26328007065600.

The previous prime is 101200200009949. The next prime is 101200200010037. The reversal of 101200200010020 is 20010002002101.

It can be written as a sum of positive squares in 8 ways, for example, as 7567637872356 + 93632562137664 = 2750934^2 + 9676392^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101200200009984 and 101200200010011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540041140 + ... + 540228500.

It is an arithmetic number, because the mean of its divisors is an integer number (2183799196215).

Almost surely, 2^{101200200010020} is an apocalyptic number.

101200200010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200200010020 is an abundant number, since it is smaller than the sum of its proper divisors (213266884244940).

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

101200200010020 is a wasteful number, since it uses less digits than its factorization.

101200200010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260606 (or 260601 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200200010020 its reverse (20010002002101), we get a palindrome (121210202012121).

The spelling of 101200200010020 in words is "one hundred one trillion, two hundred billion, two hundred million, ten thousand, twenty".