12001020210100 has 72 divisors (see below), whose sum is σ = 27575974321560. Its totient is φ = 4517725470720.

The previous prime is 12001020210089. The next prime is 12001020210119. The reversal of 12001020210100 is 101202010021.

It can be written as a sum of positive squares in 12 ways, for example, as 60443205904 + 11940577004196 = 245852^2 + 3455514^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25726132 + ... + 26188468.

It is an arithmetic number, because the mean of its divisors is an integer number (382999643355).

Almost surely, 2^{12001020210100} is an apocalyptic number.

12001020210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001020210100 is an abundant number, since it is smaller than the sum of its proper divisors (15574954111460).

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

12001020210100 is a wasteful number, since it uses less digits than its factorization.

12001020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477637 (or 477630 counting only the distinct ones).

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

Adding to 12001020210100 its reverse (101202010021), we get a palindrome (12102222220121).

The spelling of 12001020210100 in words is "twelve trillion, one billion, twenty million, two hundred ten thousand, one hundred".