100421745732000 has 3072 divisors, whose sum is σ = 469811736576000. Its totient is φ = 20226557952000.

The previous prime is 100421745731903. The next prime is 100421745732031. The reversal of 100421745732000 is 237547124001.

100421745732000 is a `hidden beast` number, since 10 + 0 + 4 + 2 + 1 + 74 + 573 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 119692187581 + ... + 119692188419.

It is an arithmetic number, because the mean of its divisors is an integer number (152933508000).

Almost surely, 2^{100421745732000} is an apocalyptic number.

100421745732000 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 100421745732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234905868288000).

100421745732000 is an abundant number, since it is smaller than the sum of its proper divisors (369389990844000).

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

100421745732000 is a wasteful number, since it uses less digits than its factorization.

100421745732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 100421745732000 in words is "one hundred trillion, four hundred twenty-one billion, seven hundred forty-five million, seven hundred thirty-two thousand".