101000401 has 2 divisors, whose sum is σ = 101000402. Its totient is φ = 101000400.

The previous prime is 101000363. The next prime is 101000407. The reversal of 101000401 is 104000101.

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., 85008400 + 15992001 = 9220^2 + 3999^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000401 - 2⁹ = 100999889 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500200 + 50500201.

It is an arithmetic number, because the mean of its divisors is an integer number (50500201).

Almost surely, 2^101000401 is an apocalyptic number.

It is an amenable number.

101000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000401 is an equidigital number, since it uses as much as digits as its factorization.

101000401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101000401 is about 10049.8955715968. The cubic root of 101000401 is about 465.7015671033.

Adding to 101000401 its reverse (104000101), we get a palindrome (205000502).

The spelling of 101000401 in words is "one hundred one million, four hundred one", and thus it is an aban number.