12101000211000 has 256 divisors, whose sum is σ = 41997725452800. Its totient is φ = 3223272528000.

The previous prime is 12101000210989. The next prime is 12101000211043. The reversal of 12101000211000 is 11200010121.

It is a happy number.

It is a super-2 number, since 2×12101000211000² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23587215 + ... + 24094785.

It is an arithmetic number, because the mean of its divisors is an integer number (164053615050).

Almost surely, 2^{12101000211000} is an apocalyptic number.

12101000211000 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 12101000211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998862726400).

12101000211000 is an abundant number, since it is smaller than the sum of its proper divisors (29896725241800).

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

12101000211000 is a wasteful number, since it uses less digits than its factorization.

12101000211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508484 (or 508464 counting only the distinct ones).

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

Adding to 12101000211000 its reverse (11200010121), we get a palindrome (12112200221121).

The spelling of 12101000211000 in words is "twelve trillion, one hundred one billion, two hundred eleven thousand".