101821420801 has 4 divisors (see below), whose sum is σ = 101824056900. Its totient is φ = 101818784704.

The previous prime is 101821420783. The next prime is 101821420847. The reversal of 101821420801 is 108024128101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 108024128101 = 14549 ⋅7424849.

It can be written as a sum of positive squares in 2 ways, for example, as 92976206400 + 8845214401 = 304920^2 + 94049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101821420801 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 101821420801.

It is not an unprimeable number, because it can be changed into a prime (101821420871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1259236 + ... + 1337653.

It is an arithmetic number, because the mean of its divisors is an integer number (25456014225).

Almost surely, 2^101821420801 is an apocalyptic number.

It is an amenable number.

101821420801 is a deficient number, since it is larger than the sum of its proper divisors (2636099).

101821420801 is an equidigital number, since it uses as much as digits as its factorization.

101821420801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636098.

The product of its (nonzero) digits is 1024, while the sum is 28.

Adding to 101821420801 its reverse (108024128101), we get a palindrome (209845548902).

The spelling of 101821420801 in words is "one hundred one billion, eight hundred twenty-one million, four hundred twenty thousand, eight hundred one".