411010100001 has 24 divisors (see below), whose sum is σ = 614324416680. Its totient is φ = 264484394496.

The previous prime is 411010099993. The next prime is 411010100021. The reversal of 411010100001 is 100001010114.

411010100001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43472250000 + 367537850001 = 208500^2 + 606249^2 .

It is not a de Polignac number, because 411010100001 - 2³ = 411010099993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (411010100021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725065 + ... + 1160921.

It is an arithmetic number, because the mean of its divisors is an integer number (25596850695).

Almost surely, 2^411010100001 is an apocalyptic number.

It is an amenable number.

411010100001 is a deficient number, since it is larger than the sum of its proper divisors (203314316679).

411010100001 is a wasteful number, since it uses less digits than its factorization.

411010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439505 (or 439502 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 411010100001 its reverse (100001010114), we get a palindrome (511011110115).

The spelling of 411010100001 in words is "four hundred eleven billion, ten million, one hundred thousand, one".