10122011200 has 84 divisors (see below), whose sum is σ = 28464572992. Its totient is φ = 3470400000.

The previous prime is 10122011183. The next prime is 10122011203. The reversal of 10122011200 is 211022101.

It is a super-2 number, since 2×10122011200² (a number of 21 digits) contains 22 as substring.

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 (10122011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440676 + ... + 463075.

Almost surely, 2^10122011200 is an apocalyptic number.

10122011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122011200 is an abundant number, since it is smaller than the sum of its proper divisors (18342561792).

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

10122011200 is an equidigital number, since it uses as much as digits as its factorization.

10122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903780 (or 903765 counting only the distinct ones).

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

Adding to 10122011200 its reverse (211022101), we get a palindrome (10333033301).

The spelling of 10122011200 in words is "ten billion, one hundred twenty-two million, eleven thousand, two hundred".