1012648462101 has 24 divisors (see below), whose sum is σ = 1554647981120. Its totient is φ = 633358046016.

The previous prime is 1012648462079. The next prime is 1012648462127.

1012648462101 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 648 + 4 + 6 + 2 + 1 + 0 + 1 = 666.

1012648462101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1012648462101 - 2⁶ = 1012648462037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012648462151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28729576 + ... + 28764801.

Almost surely, 2^{1012648462101} is an apocalyptic number.

It is an amenable number.

1012648462101 is a deficient number, since it is larger than the sum of its proper divisors (541999519019).

1012648462101 is a wasteful number, since it uses less digits than its factorization.

1012648462101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57494505 (or 57494502 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1012648462101 in words is "one trillion, twelve billion, six hundred forty-eight million, four hundred sixty-two thousand, one hundred one".