101856301314066 has 192 divisors, whose sum is σ = 252262867933440. Its totient is φ = 29462483128320.

The previous prime is 101856301314059. The next prime is 101856301314067. The reversal of 101856301314066 is 660413103658101.

101856301314066 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 5 + 630 + 1 + 3 + 1 + 4 + 0 + 6 + 6 = 666.

It is a super-2 number, since 2×101856301314066² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101856301314067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1377125326 + ... + 1377199286.

It is an arithmetic number, because the mean of its divisors is an integer number (1313869103820).

Almost surely, 2^{101856301314066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101856301314066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126131433966720).

101856301314066 is an abundant number, since it is smaller than the sum of its proper divisors (150406566619374).

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

101856301314066 is a wasteful number, since it uses less digits than its factorization.

101856301314066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78401 (or 78398 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 101856301314066 in words is "one hundred one trillion, eight hundred fifty-six billion, three hundred one million, three hundred fourteen thousand, sixty-six".