1001101879800 has 384 divisors, whose sum is σ = 3798983635200. Its totient is φ = 240287040000.

The previous prime is 1001101879793. The next prime is 1001101879829. The reversal of 1001101879800 is 89781011001.

It is a happy number.

1001101879800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5915967 + ... + 6082833.

It is an arithmetic number, because the mean of its divisors is an integer number (9893186550).

Almost surely, 2^{1001101879800} is an apocalyptic number.

1001101879800 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 1001101879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899491817600).

1001101879800 is an abundant number, since it is smaller than the sum of its proper divisors (2797881755400).

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

1001101879800 is a wasteful number, since it uses less digits than its factorization.

1001101879800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167004 (or 166989 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The spelling of 1001101879800 in words is "one trillion, one billion, one hundred one million, eight hundred seventy-nine thousand, eight hundred".