101082240000 has 1320 divisors, whose sum is σ = 438940993920. Its totient is φ = 21897216000.

The previous prime is 101082239971. The next prime is 101082240001. The reversal of 101082240000 is 42280101.

101082240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101082240001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 927359946 + ... + 927360054.

It is an arithmetic number, because the mean of its divisors is an integer number (332531056).

Almost surely, 2^101082240000 is an apocalyptic number.

101082240000 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 101082240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219470496960).

101082240000 is an abundant number, since it is smaller than the sum of its proper divisors (337858753920).

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

101082240000 is a wasteful number, since it uses less digits than its factorization.

101082240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 101082240000 in words is "one hundred one billion, eighty-two million, two hundred forty thousand".