11020800401 has 8 divisors (see below), whose sum is σ = 11874721320. Its totient is φ = 10167760512.

The previous prime is 11020800379. The next prime is 11020800433. The reversal of 11020800401 is 10400802011.

It is a Cunningham number, because it is equal to 104980²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1630221376 + 9390579025 = 40376^2 + 96905^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11020800401 - 2¹⁴ = 11020784017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11020800401.

It is not an unprimeable number, because it can be changed into a prime (11020800481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194156 + ... + 244413.

It is an arithmetic number, because the mean of its divisors is an integer number (1484340165).

Almost surely, 2^11020800401 is an apocalyptic number.

It is an amenable number.

11020800401 is a deficient number, since it is larger than the sum of its proper divisors (853920919).

11020800401 is a wasteful number, since it uses less digits than its factorization.

11020800401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440515.

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 11020800401 in words is "eleven billion, twenty million, eight hundred thousand, four hundred one".