101122653312576 has 945 divisors, whose sum is σ = 359914043033441. Its totient is φ = 27138585341952.

The previous prime is 101122653312449. The next prime is 101122653312607. The reversal of 101122653312576 is 675213356221101.

The square root of 101122653312576 is 10055976.

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

101122653312576 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 2 + 65 + 3 + 3 + 12 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78728709326400 + 22393943986176 = 8872920^2 + 4732224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 201039071941 + ... + 201039072443.

Almost surely, 2^{101122653312576} is an apocalyptic number.

101122653312576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101122653312576 is the 10055976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122653312576

101122653312576 is an abundant number, since it is smaller than the sum of its proper divisors (258791389720865).

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

101122653312576 is an frugal number, since it uses more digits than its factorization.

101122653312576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 101122653312576 in words is "one hundred one trillion, one hundred twenty-two billion, six hundred fifty-three million, three hundred twelve thousand, five hundred seventy-six".