12100022010000 has 150 divisors (see below), whose sum is σ = 42315525064670. Its totient is φ = 3226672512000.

The previous prime is 12100022009963. The next prime is 12100022010001. The reversal of 12100022010000 is 1022000121.

It can be written as a sum of positive squares in 5 ways, for example, as 1102600802304 + 10997421207696 = 1050048^2 + 3316236^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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 (12100022010001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 67132345 + ... + 67312344.

Almost surely, 2^{12100022010000} is an apocalyptic number.

12100022010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100022010000 is an abundant number, since it is smaller than the sum of its proper divisors (30215503054670).

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

12100022010000 is a wasteful number, since it uses less digits than its factorization.

12100022010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134444723 (or 134444699 counting only the distinct ones).

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

Adding to 12100022010000 its reverse (1022000121), we get a palindrome (12101044010121).

The spelling of 12100022010000 in words is "twelve trillion, one hundred billion, twenty-two million, ten thousand".