10202011200 has 126 divisors (see below), whose sum is σ = 36260407794. Its totient is φ = 2720532480.

The previous prime is 10202011189. The next prime is 10202011201. The reversal of 10202011200 is 211020201.

It can be written as a sum of positive squares in 3 ways, for example, as 367718976 + 9834292224 = 19176^2 + 99168^2 .

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 (10202011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 339837 + ... + 368636.

Almost surely, 2^10202011200 is an apocalyptic number.

10202011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202011200 is an abundant number, since it is smaller than the sum of its proper divisors (26058396594).

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

10202011200 is a wasteful number, since it uses less digits than its factorization.

10202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708501 (or 708483 counting only the distinct ones).

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

Adding to 10202011200 its reverse (211020201), we get a palindrome (10413031401).

Subtracting from 10202011200 its reverse (211020201), we obtain a palindrome (9990990999).

The spelling of 10202011200 in words is "ten billion, two hundred two million, eleven thousand, two hundred".