101601134016 has 224 divisors, whose sum is σ = 282854400000. Its totient is φ = 32146882560.

The previous prime is 101601134003. The next prime is 101601134023. The reversal of 101601134016 is 610431106101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 81345360 + ... + 81346608.

Almost surely, 2^101601134016 is an apocalyptic number.

101601134016 is a gapful number since it is divisible by the number (16) 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 101601134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141427200000).

101601134016 is an abundant number, since it is smaller than the sum of its proper divisors (181253265984).

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

101601134016 is a wasteful number, since it uses less digits than its factorization.

101601134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 101601134016 in words is "one hundred one billion, six hundred one million, one hundred thirty-four thousand, sixteen".