12001001100102 has 192 divisors, whose sum is σ = 31322992688640. Its totient is φ = 3395720688192.

The previous prime is 12001001100097. The next prime is 12001001100107. The reversal of 12001001100102 is 20100110010021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12001001100097) and next prime (12001001100107).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001001100107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362661783 + ... + 1362670589.

It is an arithmetic number, because the mean of its divisors is an integer number (163140586920).

Almost surely, 2^{12001001100102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001001100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15661496344320).

12001001100102 is an abundant number, since it is smaller than the sum of its proper divisors (19321991588538).

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

12001001100102 is a wasteful number, since it uses less digits than its factorization.

12001001100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752 (or 13739 counting only the distinct ones).

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

Adding to 12001001100102 its reverse (20100110010021), we get a palindrome (32101111110123).

The spelling of 12001001100102 in words is "twelve trillion, one billion, one million, one hundred thousand, one hundred two".