12101111001000 has 1536 divisors, whose sum is σ = 50516668800000. Its totient is φ = 2604375244800.

The previous prime is 12101111000969. The next prime is 12101111001013. The reversal of 12101111001000 is 10011110121.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11320028466 + ... + 11320029534.

It is an arithmetic number, because the mean of its divisors is an integer number (32888456250).

Almost surely, 2^{12101111001000} is an apocalyptic number.

12101111001000 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 12101111001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25258334400000).

12101111001000 is an abundant number, since it is smaller than the sum of its proper divisors (38415557799000).

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

12101111001000 is a wasteful number, since it uses less digits than its factorization.

12101111001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12101111001000 its reverse (10011110121), we get a palindrome (12111122111121).

The spelling of 12101111001000 in words is "twelve trillion, one hundred one billion, one hundred eleven million, one thousand".