101116777464000 has 896 divisors, whose sum is σ = 392910189235200. Its totient is φ = 25388403609600.

The previous prime is 101116777463983. The next prime is 101116777464041. The reversal of 101116777464000 is 464777611101.

101116777464000 is a `hidden beast` number, since 1 + 0 + 1 + 116 + 7 + 77 + 464 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 668876422 + ... + 669027578.

It is an arithmetic number, because the mean of its divisors is an integer number (438515836200).

Almost surely, 2^{101116777464000} is an apocalyptic number.

101116777464000 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 101116777464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196455094617600).

101116777464000 is an abundant number, since it is smaller than the sum of its proper divisors (291793411771200).

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

101116777464000 is a wasteful number, since it uses less digits than its factorization.

101116777464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151375 (or 151349 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 101116777464000 in words is "one hundred one trillion, one hundred sixteen billion, seven hundred seventy-seven million, four hundred sixty-four thousand".