12101141000 has 128 divisors (see below), whose sum is σ = 30883507200. Its totient is φ = 4411180800.

The previous prime is 12101140981. The next prime is 12101141011. The reversal of 12101141000 is 14110121.

It is a super-2 number, since 2×12101141000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021109 + ... + 1032891.

It is an arithmetic number, because the mean of its divisors is an integer number (241277400).

Almost surely, 2^12101141000 is an apocalyptic number.

12101141000 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 12101141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441753600).

12101141000 is an abundant number, since it is smaller than the sum of its proper divisors (18782366200).

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

12101141000 is a wasteful number, since it uses less digits than its factorization.

12101141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 11882 counting only the distinct ones).

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

Adding to 12101141000 its reverse (14110121), we get a palindrome (12115251121).

The spelling of 12101141000 in words is "twelve billion, one hundred one million, one hundred forty-one thousand".