401010010101 has 24 divisors (see below), whose sum is σ = 582659939160. Its totient is φ = 265760441856.

The previous prime is 401010010043. The next prime is 401010010103. The reversal of 401010010101 is 101010010104.

It can be written as a sum of positive squares in 4 ways, for example, as 31187913201 + 369822096900 = 176601^2 + 608130^2 .

It is not a de Polignac number, because 401010010101 - 2¹¹ = 401010008053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401010010103) 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, 19260585 + ... + 19281393.

It is an arithmetic number, because the mean of its divisors is an integer number (24277497465).

Almost surely, 2^401010010101 is an apocalyptic number.

It is an amenable number.

401010010101 is a deficient number, since it is larger than the sum of its proper divisors (181649929059).

401010010101 is a wasteful number, since it uses less digits than its factorization.

401010010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33365 (or 33362 counting only the distinct ones).

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

Adding to 401010010101 its reverse (101010010104), we get a palindrome (502020020205).

The spelling of 401010010101 in words is "four hundred one billion, ten million, ten thousand, one hundred one".