101533461120 has 640 divisors, whose sum is σ = 446290669440. Its totient is φ = 21421449216.

The previous prime is 101533461119. The next prime is 101533461143. The reversal of 101533461120 is 21164335101.

It is a happy number.

101533461120 is a `hidden beast` number, since 1 + 0 + 1 + 533 + 4 + 6 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4706679 + ... + 4728201.

It is an arithmetic number, because the mean of its divisors is an integer number (697329171).

Almost surely, 2^101533461120 is an apocalyptic number.

101533461120 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 101533461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223145334720).

101533461120 is an abundant number, since it is smaller than the sum of its proper divisors (344757208320).

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

101533461120 is a wasteful number, since it uses less digits than its factorization.

101533461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21574 (or 21553 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 101533461120 its reverse (21164335101), we get a palindrome (122697796221).

The spelling of 101533461120 in words is "one hundred one billion, five hundred thirty-three million, four hundred sixty-one thousand, one hundred twenty".