10211120200 has 48 divisors (see below), whose sum is σ = 23975959860. Its totient is φ = 4044000000.

The previous prime is 10211120141. The next prime is 10211120209. The reversal of 10211120200 is 202111201.

It can be written as a sum of positive squares in 6 ways, for example, as 8471729764 + 1739390436 = 92042^2 + 41706^2 .

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 (10211120209) 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 11 ways as a sum of consecutive naturals, for example, 232551 + ... + 272950.

Almost surely, 2^10211120200 is an apocalyptic number.

10211120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211120200 is an abundant number, since it is smaller than the sum of its proper divisors (13764839660).

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

10211120200 is a wasteful number, since it uses less digits than its factorization.

10211120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505618 (or 505609 counting only the distinct ones).

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

Adding to 10211120200 its reverse (202111201), we get a palindrome (10413231401).

The spelling of 10211120200 in words is "ten billion, two hundred eleven million, one hundred twenty thousand, two hundred".