101912739993856 has 243 divisors, whose sum is σ = 229352664791649. Its totient is φ = 45161815142400.

The previous prime is 101912739993817. The next prime is 101912739993863. The reversal of 101912739993856 is 658399937219101.

The square root of 101912739993856 is 10095184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4910726912256 + 97002013081600 = 2216016^2 + 9848960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72846847045 + ... + 72846848443.

Almost surely, 2^{101912739993856} is an apocalyptic number.

101912739993856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101912739993856 is the 10095184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101912739993856

101912739993856 is an abundant number, since it is smaller than the sum of its proper divisors (127439924797793).

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

101912739993856 is an frugal number, since it uses more digits than its factorization.

101912739993856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 73.

The spelling of 101912739993856 in words is "one hundred one trillion, nine hundred twelve billion, seven hundred thirty-nine million, nine hundred ninety-three thousand, eight hundred fifty-six".