12101021010000 has 600 divisors, whose sum is σ = 45933744496640. Its totient is φ = 2955222144000.

The previous prime is 12101021009977. The next prime is 12101021010047. The reversal of 12101021010000 is 1012010121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×12101021010000² (a number of 27 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148549281 + ... + 148630719.

Almost surely, 2^{12101021010000} is an apocalyptic number.

12101021010000 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 12101021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22966872248320).

12101021010000 is an abundant number, since it is smaller than the sum of its proper divisors (33832723486640).

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

12101021010000 is a wasteful number, since it uses less digits than its factorization.

12101021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81613 (or 81589 counting only the distinct ones).

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

Adding to 12101021010000 its reverse (1012010121), we get a palindrome (12102033020121).

The spelling of 12101021010000 in words is "twelve trillion, one hundred one billion, twenty-one million, ten thousand".