101397628800 has 1152 divisors, whose sum is σ = 419527836000. Its totient is φ = 23097507840.

The previous prime is 101397628723. The next prime is 101397628853. The reversal of 101397628800 is 8826793101.

101397628800 is a `hidden beast` number, since 1 + 0 + 13 + 9 + 7 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 566467111 + ... + 566467289.

Almost surely, 2^101397628800 is an apocalyptic number.

101397628800 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 101397628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209763918000).

101397628800 is an abundant number, since it is smaller than the sum of its proper divisors (318130207200).

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

101397628800 is a wasteful number, since it uses less digits than its factorization.

101397628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 101397628800 in words is "one hundred one billion, three hundred ninety-seven million, six hundred twenty-eight thousand, eight hundred".