12101021200 has 60 divisors (see below), whose sum is σ = 29089181700. Its totient is φ = 4837665280.

The previous prime is 12101021183. The next prime is 12101021201. The reversal of 12101021200 is 212010121.

It can be written as a sum of positive squares in 6 ways, for example, as 1430957584 + 10670063616 = 37828^2 + 103296^2 .

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 (12101021201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791226 + ... + 806374.

It is an arithmetic number, because the mean of its divisors is an integer number (484819695).

Almost surely, 2^12101021200 is an apocalyptic number.

12101021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101021200 is an abundant number, since it is smaller than the sum of its proper divisors (16988160500).

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

12101021200 is a wasteful number, since it uses less digits than its factorization.

12101021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17164 (or 17153 counting only the distinct ones).

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

Adding to 12101021200 its reverse (212010121), we get a palindrome (12313031321).

The spelling of 12101021200 in words is "twelve billion, one hundred one million, twenty-one thousand, two hundred".