101722078656 has 756 divisors, whose sum is σ = 349716669120. Its totient is φ = 28212940800.

The previous prime is 101722078603. The next prime is 101722078697. The reversal of 101722078656 is 656870227101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1142944660 + ... + 1142944748.

Almost surely, 2^101722078656 is an apocalyptic number.

101722078656 is a gapful number since it is divisible by the number (16) 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 101722078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174858334560).

101722078656 is an abundant number, since it is smaller than the sum of its proper divisors (247994590464).

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

101722078656 is a wasteful number, since it uses less digits than its factorization.

101722078656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 101722078656 in words is "one hundred one billion, seven hundred twenty-two million, seventy-eight thousand, six hundred fifty-six".