12102210100100 has 36 divisors (see below), whose sum is σ = 26902327534068. Its totient is φ = 4722813696000.

The previous prime is 12102210100093. The next prime is 12102210100103. The reversal of 12102210100100 is 100101220121.

It can be written as a sum of positive squares in 6 ways, for example, as 329090384896 + 11773119715204 = 573664^2 + 3431198^2 .

It is not an unprimeable number, because it can be changed into a prime (12102210100103) 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, 1475875181 + ... + 1475883380.

Almost surely, 2^{12102210100100} is an apocalyptic number.

12102210100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102210100100 is an abundant number, since it is smaller than the sum of its proper divisors (14800117433968).

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

12102210100100 is a wasteful number, since it uses less digits than its factorization.

12102210100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951758616 (or 2951758609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12102210100100 its reverse (100101220121), we get a palindrome (12202311320221).

The spelling of 12102210100100 in words is "twelve trillion, one hundred two billion, two hundred ten million, one hundred thousand, one hundred".