100426405464601 has 2 divisors, whose sum is σ = 100426405464602. Its totient is φ = 100426405464600.

The previous prime is 100426405464547. The next prime is 100426405464613. The reversal of 100426405464601 is 106464504624001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91735229778201 + 8691175686400 = 9577851^2 + 2948080^2 .

It is a cyclic number.

It is not a de Polignac number, because 100426405464601 - 2³³ = 100417815530009 is a prime.

It is not a weakly prime, because it can be changed into another prime (100426405467601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50213202732300 + 50213202732301.

It is an arithmetic number, because the mean of its divisors is an integer number (50213202732301).

Almost surely, 2^{100426405464601} is an apocalyptic number.

It is an amenable number.

100426405464601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100426405464601 is an equidigital number, since it uses as much as digits as its factorization.

100426405464601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 100426405464601 in words is "one hundred trillion, four hundred twenty-six billion, four hundred five million, four hundred sixty-four thousand, six hundred one".