101001220200100 has 108 divisors (see below), whose sum is σ = 241189910053092. Its totient is φ = 36684856524800.

The previous prime is 101001220200073. The next prime is 101001220200109. The reversal of 101001220200100 is 1002022100101.

It can be written as a sum of positive squares in 6 ways, for example, as 1391758153984 + 99609462046116 = 1179728^2 + 9980454^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101001220200109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5499684 + ... + 15239716.

It is an arithmetic number, because the mean of its divisors is an integer number (2233239907899).

Almost surely, 2^{101001220200100} is an apocalyptic number.

101001220200100 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 101001220200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120594955026546).

101001220200100 is an abundant number, since it is smaller than the sum of its proper divisors (140188689852992).

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

101001220200100 is a wasteful number, since it uses less digits than its factorization.

101001220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740926 (or 9740908 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101001220200100 its reverse (1002022100101), we get a palindrome (102003242300201).

The spelling of 101001220200100 in words is "one hundred one trillion, one billion, two hundred twenty million, two hundred thousand, one hundred".