101000001220200 has 72 divisors (see below), whose sum is σ = 339191670770550. Its totient is φ = 26933333658240.

The previous prime is 101000001220169. The next prime is 101000001220207. The reversal of 101000001220200 is 2022100000101.

It can be written as a sum of positive squares in 3 ways, for example, as 58706335944036 + 42293665276164 = 7662006^2 + 6503358^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (101000001220207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28055554095 + ... + 28055557694.

Almost surely, 2^{101000001220200} is an apocalyptic number.

101000001220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000001220200 is an abundant number, since it is smaller than the sum of its proper divisors (238191669550350).

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

101000001220200 is a wasteful number, since it uses less digits than its factorization.

101000001220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56111111811 (or 56111111799 counting only the distinct ones).

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

Adding to 101000001220200 its reverse (2022100000101), we get a palindrome (103022101220301).

The spelling of 101000001220200 in words is "one hundred one trillion, one million, two hundred twenty thousand, two hundred".