101000734854000 has 640 divisors, whose sum is σ = 341268717404160. Its totient is φ = 25650193536000.

The previous prime is 101000734853999. The next prime is 101000734854073. The reversal of 101000734854000 is 458437000101.

It is a super-2 number, since 2×101000734854000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 41073904771 + ... + 41073907229.

It is an arithmetic number, because the mean of its divisors is an integer number (533232370944).

Almost surely, 2^{101000734854000} is an apocalyptic number.

101000734854000 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 101000734854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170634358702080).

101000734854000 is an abundant number, since it is smaller than the sum of its proper divisors (240267982550160).

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

101000734854000 is a wasteful number, since it uses less digits than its factorization.

101000734854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 101000734854000 in words is "one hundred one trillion, seven hundred thirty-four million, eight hundred fifty-four thousand".