101410452000 has 576 divisors, whose sum is σ = 422847734400. Its totient is φ = 22692096000.

The previous prime is 101410451963. The next prime is 101410452007. The reversal of 101410452000 is 254014101.

101410452000 is a `hidden beast` number, since 1 + 0 + 141 + 0 + 4 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101410452007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5138151 + ... + 5157849.

It is an arithmetic number, because the mean of its divisors is an integer number (734110650).

Almost surely, 2^101410452000 is an apocalyptic number.

101410452000 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 101410452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211423867200).

101410452000 is an abundant number, since it is smaller than the sum of its proper divisors (321437282400).

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

101410452000 is a wasteful number, since it uses less digits than its factorization.

101410452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19754 (or 19733 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 101410452000 its reverse (254014101), we get a palindrome (101664466101).

The spelling of 101410452000 in words is "one hundred one billion, four hundred ten million, four hundred fifty-two thousand".