100401527 has 2 divisors, whose sum is σ = 100401528. Its totient is φ = 100401526.

The previous prime is 100401503. The next prime is 100401551. The reversal of 100401527 is 725104001.

It is a balanced prime because it is at equal distance from previous prime (100401503) and next prime (100401551).

It is a cyclic number.

It is not a de Polignac number, because 100401527 - 2¹⁸ = 100139383 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100401499 and 100401508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100401127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200763 + 50200764.

It is an arithmetic number, because the mean of its divisors is an integer number (50200764).

Almost surely, 2^100401527 is an apocalyptic number.

100401527 is a deficient number, since it is larger than the sum of its proper divisors (1).

100401527 is an equidigital number, since it uses as much as digits as its factorization.

100401527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 100401527 is about 10020.0562373671. The cubic root of 100401527 is about 464.7792948074.

Adding to 100401527 its reverse (725104001), we get a palindrome (825505528).

The spelling of 100401527 in words is "one hundred million, four hundred one thousand, five hundred twenty-seven".