4100822001 has 6 divisors (see below), whose sum is σ = 5923409570. Its totient is φ = 2733881328.

The previous prime is 4100821997. The next prime is 4100822023. The reversal of 4100822001 is 1002280014.

It can be written as a sum of positive squares in only one way, i.e., 2077171776 + 2023650225 = 45576^2 + 44985^2 .

It is not a de Polignac number, because 4100822001 - 2² = 4100821997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4100822071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227823436 + ... + 227823453.

Almost surely, 2^4100822001 is an apocalyptic number.

It is an amenable number.

4100822001 is a deficient number, since it is larger than the sum of its proper divisors (1822587569).

4100822001 is a wasteful number, since it uses less digits than its factorization.

4100822001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455646895 (or 455646892 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4100822001 is about 64037.6608020624. The cubic root of 4100822001 is about 1600.6276184907.

The spelling of 4100822001 in words is "four billion, one hundred million, eight hundred twenty-two thousand, one".