100127616642432 has 1024 divisors, whose sum is σ = 332235509760000. Its totient is φ = 29501407789056.

The previous prime is 100127616642397. The next prime is 100127616642569. The reversal of 100127616642432 is 234246616721001.

100127616642432 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 7 + 616 + 6 + 4 + 24 + 3 + 2 = 666.

It is a super-3 number, since 3×100127616642432³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70166514103 + ... + 70166515529.

It is an arithmetic number, because the mean of its divisors is an integer number (324448740000).

Almost surely, 2^{100127616642432} is an apocalyptic number.

100127616642432 is a gapful number since it is divisible by the number (12) 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 100127616642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166117754880000).

100127616642432 is an abundant number, since it is smaller than the sum of its proper divisors (232107893117568).

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

100127616642432 is a wasteful number, since it uses less digits than its factorization.

100127616642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 100127616642432 in words is "one hundred trillion, one hundred twenty-seven billion, six hundred sixteen million, six hundred forty-two thousand, four hundred thirty-two".