101722681440 has 384 divisors, whose sum is σ = 374056704000. Its totient is φ = 25768765440.

The previous prime is 101722681439. The next prime is 101722681471. The reversal of 101722681440 is 44186227101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101722681395 and 101722681404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14801205 + ... + 14808075.

It is an arithmetic number, because the mean of its divisors is an integer number (974106000).

Almost surely, 2^101722681440 is an apocalyptic number.

101722681440 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 101722681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187028352000).

101722681440 is an abundant number, since it is smaller than the sum of its proper divisors (272334022560).

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

101722681440 is a wasteful number, since it uses less digits than its factorization.

101722681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 101722681440 in words is "one hundred one billion, seven hundred twenty-two million, six hundred eighty-one thousand, four hundred forty".