401011122131001 has 24 divisors (see below), whose sum is σ = 594901111356864. Its totient is φ = 260111940366240.

The previous prime is 401011122130991. The next prime is 401011122131027. The reversal of 401011122131001 is 100131221110104.

401011122131001 is a `hidden beast` number, since 401 + 0 + 1 + 11 + 221 + 31 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 401011122131001 - 2¹⁹ = 401011121606713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401011122131071) 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, 17947620 + ... + 33528186.

It is an arithmetic number, because the mean of its divisors is an integer number (24787546306536).

Almost surely, 2^{401011122131001} is an apocalyptic number.

It is an amenable number.

401011122131001 is a deficient number, since it is larger than the sum of its proper divisors (193889989225863).

401011122131001 is a wasteful number, since it uses less digits than its factorization.

401011122131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657901 (or 15657898 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 401011122131001 its reverse (100131221110104), we get a palindrome (501142343241105).

The spelling of 401011122131001 in words is "four hundred one trillion, eleven billion, one hundred twenty-two million, one hundred thirty-one thousand, one".