101461148800 has 192 divisors, whose sum is σ = 279789190560. Its totient is φ = 36036403200.

The previous prime is 101461148771. The next prime is 101461148801. The reversal of 101461148800 is 8841164101.

It is not an unprimeable number, because it can be changed into a prime (101461148801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1480084 + ... + 1547116.

Almost surely, 2^101461148800 is an apocalyptic number.

101461148800 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 101461148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139894595280).

101461148800 is an abundant number, since it is smaller than the sum of its proper divisors (178328041760).

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

101461148800 is a wasteful number, since it uses less digits than its factorization.

101461148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67111 (or 67094 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The spelling of 101461148800 in words is "one hundred one billion, four hundred sixty-one million, one hundred forty-eight thousand, eight hundred".