1101101210000 has 300 divisors, whose sum is σ = 2967610060800. Its totient is φ = 395297760000.

The previous prime is 1101101209963. The next prime is 1101101210009. The reversal of 1101101210000 is 121011011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1101101210000.

It is not an unprimeable number, because it can be changed into a prime (1101101210009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95584241 + ... + 95595759.

It is an arithmetic number, because the mean of its divisors is an integer number (9892033536).

Almost surely, 2^{1101101210000} is an apocalyptic number.

1101101210000 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 1101101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483805030400).

1101101210000 is an abundant number, since it is smaller than the sum of its proper divisors (1866508850800).

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

1101101210000 is a wasteful number, since it uses less digits than its factorization.

1101101210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11648 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1101101210000 its reverse (121011011), we get a palindrome (1101222221011).

The spelling of 1101101210000 in words is "one trillion, one hundred one billion, one hundred one million, two hundred ten thousand".