30191821110401 has 8 divisors (see below), whose sum is σ = 31233020065320. Its totient is φ = 29150628933888.

The previous prime is 30191821110383. The next prime is 30191821110419. The reversal of 30191821110401 is 10401112819103.

It is an interprime number because it is at equal distance from previous prime (30191821110383) and next prime (30191821110419).

It can be written as a sum of positive squares in 4 ways, for example, as 756595530625 + 29435225579776 = 869825^2 + 5425424^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 30191821110401 - 2²⁶ = 30191754001537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30191821110421) 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 7 ways as a sum of consecutive naturals, for example, 8383115 + ... + 11430671.

It is an arithmetic number, because the mean of its divisors is an integer number (3904127508165).

Almost surely, 2^{30191821110401} is an apocalyptic number.

It is an amenable number.

30191821110401 is a deficient number, since it is larger than the sum of its proper divisors (1041198954919).

30191821110401 is a wasteful number, since it uses less digits than its factorization.

30191821110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389203.

The product of its (nonzero) digits is 1728, while the sum is 32.

Adding to 30191821110401 its reverse (10401112819103), we get a palindrome (40592933929504).

The spelling of 30191821110401 in words is "thirty trillion, one hundred ninety-one billion, eight hundred twenty-one million, one hundred ten thousand, four hundred one".