101200001220 has 72 divisors (see below), whose sum is σ = 307000990296. Its totient is φ = 26984236032.

The previous prime is 101200001171. The next prime is 101200001237. The reversal of 101200001220 is 22100002101.

It can be written as a sum of positive squares in 4 ways, for example, as 59434539264 + 41765461956 = 243792^2 + 204366^2 .

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2940834 + ... + 2975046.

It is an arithmetic number, because the mean of its divisors is an integer number (4263902643).

Almost surely, 2^101200001220 is an apocalyptic number.

101200001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200001220 is an abundant number, since it is smaller than the sum of its proper divisors (205800989076).

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

101200001220 is a wasteful number, since it uses less digits than its factorization.

101200001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50661 (or 50656 counting only the distinct ones).

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

Adding to 101200001220 its reverse (22100002101), we get a palindrome (123300003321).

The spelling of 101200001220 in words is "one hundred one billion, two hundred million, one thousand, two hundred twenty".