101200200200010 has 96 divisors (see below), whose sum is σ = 268385698086480. Its totient is φ = 26449850649600.

The previous prime is 101200200199993. The next prime is 101200200200051. The reversal of 101200200200010 is 10002002002101.

It can be written as a sum of positive squares in 8 ways, for example, as 31684076157321 + 69516124042689 = 5628861^2 + 8337633^2 .

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 = 101200200199965 and 101200200200001.

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, 31257225 + ... + 34342604.

Almost surely, 2^{101200200200010} is an apocalyptic number.

101200200200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200200200010 is an abundant number, since it is smaller than the sum of its proper divisors (167185497886470).

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

101200200200010 is a wasteful number, since it uses less digits than its factorization.

101200200200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65600184 (or 65600181 counting only the distinct ones).

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

Adding to 101200200200010 its reverse (10002002002101), we get a palindrome (111202202202111).

The spelling of 101200200200010 in words is "one hundred one trillion, two hundred billion, two hundred million, two hundred thousand, ten".