101227069154016 has 960 divisors, whose sum is σ = 345433500720000. Its totient is φ = 28802371682304.

The previous prime is 101227069153961. The next prime is 101227069154047. The reversal of 101227069154016 is 610451960722101.

101227069154016 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 7 + 0 + 6 + 91 + 540 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11248697485 + ... + 11248706483.

It is an arithmetic number, because the mean of its divisors is an integer number (359826563250).

Almost surely, 2^{101227069154016} is an apocalyptic number.

101227069154016 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 101227069154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172716750360000).

101227069154016 is an abundant number, since it is smaller than the sum of its proper divisors (244206431565984).

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

101227069154016 is a wasteful number, since it uses less digits than its factorization.

101227069154016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9393 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 101227069154016 in words is "one hundred one trillion, two hundred twenty-seven billion, sixty-nine million, one hundred fifty-four thousand, sixteen".