1020910180801 has 81 divisors (see below), whose sum is σ = 1283277965697. Its totient is φ = 809694945360.

The previous prime is 1020910180793. The next prime is 1020910180811. The reversal of 1020910180801 is 1080810190201.

The square root of 1020910180801 is 1010401.

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

It is not a de Polignac number, because 1020910180801 - 2³ = 1020910180793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020910180811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9541216590 + ... + 9541216696.

Almost surely, 2^{1020910180801} is an apocalyptic number.

1020910180801 is the 1010401-st square number.

1020910180801 is the 505201-st centered octagonal number.

It is an amenable number.

1020910180801 is a deficient number, since it is larger than the sum of its proper divisors (262367784896).

1020910180801 is an frugal number, since it uses more digits than its factorization.

1020910180801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 1020910180801 in words is "one trillion, twenty billion, nine hundred ten million, one hundred eighty thousand, eight hundred one".