12100101201100 has 144 divisors (see below), whose sum is σ = 28830072257280. Its totient is φ = 4371510124800.

The previous prime is 12100101201037. The next prime is 12100101201121. The reversal of 12100101201100 is 110210100121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595086534 + ... + 595106866.

It is an arithmetic number, because the mean of its divisors is an integer number (200208835120).

Almost surely, 2^{12100101201100} is an apocalyptic number.

12100101201100 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 12100101201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415036128640).

12100101201100 is an abundant number, since it is smaller than the sum of its proper divisors (16729971056180).

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

12100101201100 is a wasteful number, since it uses less digits than its factorization.

12100101201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23840 (or 23833 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12100101201100 its reverse (110210100121), we get a palindrome (12210311301221).

The spelling of 12100101201100 in words is "twelve trillion, one hundred billion, one hundred one million, two hundred one thousand, one hundred".