101120011001100 has 1728 divisors, whose sum is σ = 409811607878400. Its totient is φ = 20708197171200.

The previous prime is 101120011001027. The next prime is 101120011001111. The reversal of 101120011001100 is 1100110021101.

It is a Harshad number since it is a multiple of its sum of digits (9).

101120011001100 is a modest number, since divided by 11001100 gives 1011200 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 114778672660 + ... + 114778673540.

It is an arithmetic number, because the mean of its divisors is an integer number (237159495300).

Almost surely, 2^{101120011001100} is an apocalyptic number.

101120011001100 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 101120011001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204905803939200).

101120011001100 is an abundant number, since it is smaller than the sum of its proper divisors (308691596877300).

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

101120011001100 is a wasteful number, since it uses less digits than its factorization.

101120011001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101120011001100 its reverse (1100110021101), we get a palindrome (102220121022201).

The spelling of 101120011001100 in words is "one hundred one trillion, one hundred twenty billion, eleven million, one thousand, one hundred".