101521104000 has 256 divisors, whose sum is σ = 354258403200. Its totient is φ = 25647206400.

The previous prime is 101521103993. The next prime is 101521104023. The reversal of 101521104000 is 401125101.

It is a happy number.

101521104000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856342 + ... + 967658.

Almost surely, 2^101521104000 is an apocalyptic number.

101521104000 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 101521104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177129201600).

101521104000 is an abundant number, since it is smaller than the sum of its proper divisors (252737299200).

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

101521104000 is a wasteful number, since it uses less digits than its factorization.

101521104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111368 (or 111346 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 101521104000 its reverse (401125101), we get a palindrome (101922229101).

The spelling of 101521104000 in words is "one hundred one billion, five hundred twenty-one million, one hundred four thousand".