10205346801 has 16 divisors (see below), whose sum is σ = 14719556096. Its totient is φ = 6252045696.

The previous prime is 10205346799. The next prime is 10205346829. The reversal of 10205346801 is 10864350201.

It is not a de Polignac number, because 10205346801 - 2¹ = 10205346799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10205346601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578020 + ... + 595413.

It is an arithmetic number, because the mean of its divisors is an integer number (919972256).

Almost surely, 2^10205346801 is an apocalyptic number.

It is an amenable number.

10205346801 is a deficient number, since it is larger than the sum of its proper divisors (4514209295).

10205346801 is a wasteful number, since it uses less digits than its factorization.

10205346801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173672.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10205346801 in words is "ten billion, two hundred five million, three hundred forty-six thousand, eight hundred one".