12102010100100 has 288 divisors, whose sum is σ = 39450727214080. Its totient is φ = 3221902396800.

The previous prime is 12102010100099. The next prime is 12102010100119. The reversal of 12102010100100 is 100101020121.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134017965 + ... + 134108235.

Almost surely, 2^{12102010100100} is an apocalyptic number.

12102010100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102010100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725363607040).

12102010100100 is an abundant number, since it is smaller than the sum of its proper divisors (27348717113980).

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

12102010100100 is an equidigital number, since it uses as much as digits as its factorization.

12102010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90919 (or 90894 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12102010100100 its reverse (100101020121), we get a palindrome (12202111120221).

The spelling of 12102010100100 in words is "twelve trillion, one hundred two billion, ten million, one hundred thousand, one hundred".