401011122131027 has 2 divisors, whose sum is σ = 401011122131028. Its totient is φ = 401011122131026.

The previous prime is 401011122130991. The next prime is 401011122131029. The reversal of 401011122131027 is 720131221110104.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 401011122131027 - 2⁸ = 401011122130771 is a prime.

Together with 401011122131029, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 401011122130987 and 401011122131005.

It is not a weakly prime, because it can be changed into another prime (401011122131029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200505561065513 + 200505561065514.

It is an arithmetic number, because the mean of its divisors is an integer number (200505561065514).

Almost surely, 2^{401011122131027} is an apocalyptic number.

401011122131027 is a deficient number, since it is larger than the sum of its proper divisors (1).

401011122131027 is an equidigital number, since it uses as much as digits as its factorization.

401011122131027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 401011122131027 in words is "four hundred one trillion, eleven billion, one hundred twenty-two million, one hundred thirty-one thousand, twenty-seven".