101840784996720 has 960 divisors, whose sum is σ = 418211278336512. Its totient is φ = 20252187648000.

The previous prime is 101840784996703. The next prime is 101840784996721. The reversal of 101840784996720 is 27699487048101.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101840784996721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291791115 + ... + 292139925.

Almost surely, 2^{101840784996720} is an apocalyptic number.

101840784996720 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 101840784996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209105639168256).

101840784996720 is an abundant number, since it is smaller than the sum of its proper divisors (316370493339792).

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

101840784996720 is a wasteful number, since it uses less digits than its factorization.

101840784996720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348950 (or 348937 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 101840784996720 in words is "one hundred one trillion, eight hundred forty billion, seven hundred eighty-four million, nine hundred ninety-six thousand, seven hundred twenty".