1020205312401 has 32 divisors (see below), whose sum is σ = 1492478507520. Its totient is φ = 614747635200.

The previous prime is 1020205312367. The next prime is 1020205312501. The reversal of 1020205312401 is 1042135020201.

It is not a de Polignac number, because 1020205312401 - 2¹¹ = 1020205310353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020205312001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48196446 + ... + 48217608.

It is an arithmetic number, because the mean of its divisors is an integer number (46639953360).

Almost surely, 2^{1020205312401} is an apocalyptic number.

1020205312401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020205312401 is a deficient number, since it is larger than the sum of its proper divisors (472273195119).

1020205312401 is a wasteful number, since it uses less digits than its factorization.

1020205312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29517.

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 1020205312401 in words is "one trillion, twenty billion, two hundred five million, three hundred twelve thousand, four hundred one".