1101721159800 has 960 divisors, whose sum is σ = 4190869267200. Its totient is φ = 267282892800.

The previous prime is 1101721159787. The next prime is 1101721159807. The reversal of 1101721159800 is 89511271011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101721159807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 845525949 + ... + 845527251.

It is an arithmetic number, because the mean of its divisors is an integer number (4365488820).

Almost surely, 2^{1101721159800} is an apocalyptic number.

1101721159800 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 1101721159800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095434633600).

1101721159800 is an abundant number, since it is smaller than the sum of its proper divisors (3089148107400).

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

1101721159800 is a wasteful number, since it uses less digits than its factorization.

1101721159800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 36.

It can be divided in two parts, 11017211 and 59800, that added together give a palindrome (11077011).

The spelling of 1101721159800 in words is "one trillion, one hundred one billion, seven hundred twenty-one million, one hundred fifty-nine thousand, eight hundred".