101014770168 has 320 divisors, whose sum is σ = 323418886560. Its totient is φ = 29181026304.

The previous prime is 101014770119. The next prime is 101014770209. The reversal of 101014770168 is 861077410101.

101014770168 is a `hidden beast` number, since 10 + 10 + 1 + 477 + 0 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 92082196 + ... + 92083292.

Almost surely, 2^101014770168 is an apocalyptic number.

101014770168 is a gapful number since it is divisible by the number (18) 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 101014770168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161709443280).

101014770168 is an abundant number, since it is smaller than the sum of its proper divisors (222404116392).

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

101014770168 is a wasteful number, since it uses less digits than its factorization.

101014770168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 101014770168 in words is "one hundred one billion, fourteen million, seven hundred seventy thousand, one hundred sixty-eight".