10011213200 has 60 divisors (see below), whose sum is σ = 24082448580. Its totient is φ = 3999406080.

The previous prime is 10011213193. The next prime is 10011213217. The reversal of 10011213200 is 231211001.

It can be written as a sum of positive squares in 6 ways, for example, as 208629136 + 9802584064 = 14444^2 + 99008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308132 + ... + 339068.

It is an arithmetic number, because the mean of its divisors is an integer number (401374143).

Almost surely, 2^10011213200 is an apocalyptic number.

10011213200 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 10011213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12041224290).

10011213200 is an abundant number, since it is smaller than the sum of its proper divisors (14071235380).

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

10011213200 is a wasteful number, since it uses less digits than its factorization.

10011213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31764 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10011213200 its reverse (231211001), we get a palindrome (10242424201).

The spelling of 10011213200 in words is "ten billion, eleven million, two hundred thirteen thousand, two hundred".