101023073678016 has 336 divisors, whose sum is σ = 347267242858080. Its totient is φ = 28714177658880.

The previous prime is 101023073677931. The next prime is 101023073678047. The reversal of 101023073678016 is 610876370320101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×101023073678016² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13250736 + ... + 19432656.

Almost surely, 2^{101023073678016} is an apocalyptic number.

101023073678016 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 101023073678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173633621429040).

101023073678016 is an abundant number, since it is smaller than the sum of its proper divisors (246244169180064).

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

101023073678016 is a wasteful number, since it uses less digits than its factorization.

101023073678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182149 (or 6182126 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 101023073678016 in words is "one hundred one trillion, twenty-three billion, seventy-three million, six hundred seventy-eight thousand, sixteen".