12101100012000 has 144 divisors (see below), whose sum is σ = 42946804070352. Its totient is φ = 3226959993600.

The previous prime is 12101100011983. The next prime is 12101100012119. The reversal of 12101100012000 is 21000110121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 168034834 + ... + 168106833.

It is an arithmetic number, because the mean of its divisors is an integer number (298241694933).

Almost surely, 2^{12101100012000} is an apocalyptic number.

12101100012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101100012000 is an abundant number, since it is smaller than the sum of its proper divisors (30845704058352).

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

12101100012000 is a wasteful number, since it uses less digits than its factorization.

12101100012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336141698 (or 336141677 counting only the distinct ones).

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

Adding to 12101100012000 its reverse (21000110121), we get a palindrome (12122100122121).

The spelling of 12101100012000 in words is "twelve trillion, one hundred one billion, one hundred million, twelve thousand".