101552602132800 has 5040 divisors, whose sum is σ = 500130910287360. Its totient is φ = 19713227489280.

The previous prime is 101552602132781. The next prime is 101552602132837. The reversal of 101552602132800 is 8231206255101.

101552602132800 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 526 + 0 + 21 + 32 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 122500122786 + ... + 122500123614.

Almost surely, 2^{101552602132800} is an apocalyptic number.

101552602132800 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 101552602132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250065455143680).

101552602132800 is an abundant number, since it is smaller than the sum of its proper divisors (398578308154560).

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

101552602132800 is a wasteful number, since it uses less digits than its factorization.

101552602132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 101552602132800 its reverse (8231206255101), we get a palindrome (109783808387901).

The spelling of 101552602132800 in words is "one hundred one trillion, five hundred fifty-two billion, six hundred two million, one hundred thirty-two thousand, eight hundred".