2101096634256 has 135 divisors (see below), whose sum is σ = 5919601575771. Its totient is φ = 695698103232.

The previous prime is 2101096634227. The next prime is 2101096634269. The reversal of 2101096634256 is 6524366901012.

The square root of 2101096634256 is 1449516.

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

2101096634256 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 0 + 9 + 6 + 634 + 2 + 5 + 6 = 666.

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, 3461443905 + ... + 3461444511.

Almost surely, 2^{2101096634256} is an apocalyptic number.

2101096634256 is the 1449516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101096634256

2101096634256 is an abundant number, since it is smaller than the sum of its proper divisors (3818504941515).

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

2101096634256 is an frugal number, since it uses more digits than its factorization.

2101096634256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2101096634256 in words is "two trillion, one hundred one billion, ninety-six million, six hundred thirty-four thousand, two hundred fifty-six".