1101241141000 has 384 divisors, whose sum is σ = 3521705765760. Its totient is φ = 316838592000.

The previous prime is 1101241140991. The next prime is 1101241141001. The reversal of 1101241141000 is 1411421011.

It is not an unprimeable number, because it can be changed into a prime (1101241141001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6928419 + ... + 7085581.

It is an arithmetic number, because the mean of its divisors is an integer number (9171108765).

Almost surely, 2^{1101241141000} is an apocalyptic number.

1101241141000 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 1101241141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760852882880).

1101241141000 is an abundant number, since it is smaller than the sum of its proper divisors (2420464624760).

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

1101241141000 is a wasteful number, since it uses less digits than its factorization.

1101241141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157222 (or 157201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1101241141000 its reverse (1411421011), we get a palindrome (1102652562011).

The spelling of 1101241141000 in words is "one trillion, one hundred one billion, two hundred forty-one million, one hundred forty-one thousand".