101114640000 has 960 divisors, whose sum is σ = 420538884480. Its totient is φ = 23040000000.

The previous prime is 101114639987. The next prime is 101114640007. The reversal of 101114640000 is 46411101.

101114640000 is a `hidden beast` number, since 1 + 0 + 11 + 14 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101114640007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 134639625 + ... + 134640375.

It is an arithmetic number, because the mean of its divisors is an integer number (438061338).

Almost surely, 2^101114640000 is an apocalyptic number.

101114640000 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 101114640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210269442240).

101114640000 is an abundant number, since it is smaller than the sum of its proper divisors (319424244480).

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

101114640000 is a wasteful number, since it uses less digits than its factorization.

101114640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 101114640000 in words is "one hundred one billion, one hundred fourteen million, six hundred forty thousand".