12101101202000 has 80 divisors (see below), whose sum is σ = 29265483456144. Its totient is φ = 4839609920000.

The previous prime is 12101101201967. The next prime is 12101101202051. The reversal of 12101101202000 is 20210110121.

It can be written as a sum of positive squares in 8 ways, for example, as 939247845904 + 11161853356096 = 969148^2 + 3340936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11205830 + ... + 12238170.

Almost surely, 2^{12101101202000} is an apocalyptic number.

12101101202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101101202000 is an abundant number, since it is smaller than the sum of its proper divisors (17164382254144).

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

12101101202000 is a wasteful number, since it uses less digits than its factorization.

12101101202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038225 (or 1038209 counting only the distinct ones).

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

Adding to 12101101202000 its reverse (20210110121), we get a palindrome (12121311312121).

The spelling of 12101101202000 in words is "twelve trillion, one hundred one billion, one hundred one million, two hundred two thousand".