101021202200200 has 24 divisors (see below), whose sum is σ = 234874295115930. Its totient is φ = 40408480880000.

The previous prime is 101021202200197. The next prime is 101021202200203. The reversal of 101021202200200 is 2002202120101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101021202200197) and next prime (101021202200203).

It can be written as a sum of positive squares in 3 ways, for example, as 91418801897124 + 9602400303076 = 9561318^2 + 3098774^2 .

It is not an unprimeable number, because it can be changed into a prime (101021202200203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252553005301 + ... + 252553005700.

Almost surely, 2^{101021202200200} is an apocalyptic number.

101021202200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021202200200 is an abundant number, since it is smaller than the sum of its proper divisors (133853092915730).

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

101021202200200 is a wasteful number, since it uses less digits than its factorization.

101021202200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505106011017 (or 505106011008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101021202200200 its reverse (2002202120101), we get a palindrome (103023404320301).

The spelling of 101021202200200 in words is "one hundred one trillion, twenty-one billion, two hundred two million, two hundred thousand, two hundred".