101544801120 has 1008 divisors, whose sum is σ = 424837995120. Its totient is φ = 22856214528.

The previous prime is 101544801097. The next prime is 101544801179. The reversal of 101544801120 is 21108445101.

It is a happy number.

101544801120 is a `hidden beast` number, since 1 + 0 + 1 + 544 + 8 + 0 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×101544801120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 622974159 + ... + 622974321.

It is an arithmetic number, because the mean of its divisors is an integer number (421466265).

Almost surely, 2^101544801120 is an apocalyptic number.

101544801120 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 101544801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212418997560).

101544801120 is an abundant number, since it is smaller than the sum of its proper divisors (323293194000).

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

101544801120 is a wasteful number, since it uses less digits than its factorization.

101544801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 101544801120 in words is "one hundred one billion, five hundred forty-four million, eight hundred one thousand, one hundred twenty".