101021019200 has 42 divisors (see below), whose sum is σ = 248574849306. Its totient is φ = 40408407040.

The previous prime is 101021019199. The next prime is 101021019227. The reversal of 101021019200 is 2910120101.

It can be written as a sum of positive squares in 3 ways, for example, as 26443963456 + 74577055744 = 162616^2 + 273088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31567469 + ... + 31570668.

It is an arithmetic number, because the mean of its divisors is an integer number (5918448793).

Almost surely, 2^101021019200 is an apocalyptic number.

101021019200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021019200 is an abundant number, since it is smaller than the sum of its proper divisors (147553830106).

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

101021019200 is an equidigital number, since it uses as much as digits as its factorization.

101021019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63138159 (or 63138144 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101021019200 its reverse (2910120101), we get a palindrome (103931139301).

The spelling of 101021019200 in words is "one hundred one billion, twenty-one million, nineteen thousand, two hundred".