101001220200 has 576 divisors, whose sum is σ = 364013844480. Its totient is φ = 25039872000.

The previous prime is 101001220189. The next prime is 101001220217. The reversal of 101001220200 is 2022100101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 419092080 + ... + 419092320.

It is an arithmetic number, because the mean of its divisors is an integer number (631968480).

Almost surely, 2^101001220200 is an apocalyptic number.

101001220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182006922240).

101001220200 is an abundant number, since it is smaller than the sum of its proper divisors (263012624280).

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

101001220200 is a wasteful number, since it uses less digits than its factorization.

101001220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

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

Adding to 101001220200 its reverse (2022100101), we get a palindrome (103023320301).

It can be divided in two parts, 101001 and 220200, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 101001220200 in words is "one hundred one billion, one million, two hundred twenty thousand, two hundred".