10011000201220 has 24 divisors (see below), whose sum is σ = 21050297221464. Its totient is φ = 3999219737856.

The previous prime is 10011000201131. The next prime is 10011000201247. The reversal of 10011000201220 is 2210200011001.

It can be written as a sum of positive squares in 4 ways, for example, as 993243451456 + 9017756749764 = 996616^2 + 3002958^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10011000201197 and 10011000201206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323755569 + ... + 323786488.

It is an arithmetic number, because the mean of its divisors is an integer number (877095717561).

Almost surely, 2^{10011000201220} is an apocalyptic number.

10011000201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000201220 is an abundant number, since it is smaller than the sum of its proper divisors (11039297020244).

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

10011000201220 is a wasteful number, since it uses less digits than its factorization.

10011000201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647542839 (or 647542837 counting only the distinct ones).

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

Adding to 10011000201220 its reverse (2210200011001), we get a palindrome (12221200212221).

The spelling of 10011000201220 in words is "ten trillion, eleven billion, two hundred one thousand, two hundred twenty".