12000020210100 has 108 divisors (see below), whose sum is σ = 40506734926476. Its totient is φ = 2953851125760.

The previous prime is 12000020210093. The next prime is 12000020210117. The reversal of 12000020210100 is 101202000021.

It can be written as a sum of positive squares in 6 ways, for example, as 76686901776 + 11923333308324 = 276924^2 + 3453018^2 .

It is a super-3 number, since 3×12000020210100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 512809677 + ... + 512833076.

Almost surely, 2^{12000020210100} is an apocalyptic number.

12000020210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000020210100 is an abundant number, since it is smaller than the sum of its proper divisors (28506714716376).

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

12000020210100 is a wasteful number, since it uses less digits than its factorization.

12000020210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025642786 (or 1025642776 counting only the distinct ones).

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

Adding to 12000020210100 its reverse (101202000021), we get a palindrome (12101222210121).

The spelling of 12000020210100 in words is "twelve trillion, twenty million, two hundred ten thousand, one hundred".