100101431 has 2 divisors, whose sum is σ = 100101432. Its totient is φ = 100101430.

The previous prime is 100101401. The next prime is 100101437. The reversal of 100101431 is 134101001.

It is a strong prime.

It is an emirp because it is prime and its reverse (134101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101431 - 2¹⁴ = 100085047 is a prime.

It is a super-2 number, since 2×100101431² = 20040592976495522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050715 + 50050716.

It is an arithmetic number, because the mean of its divisors is an integer number (50050716).

Almost surely, 2^100101431 is an apocalyptic number.

100101431 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101431 is an equidigital number, since it uses as much as digits as its factorization.

100101431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 100101431 is about 10005.0702646208. The cubic root of 100101431 is about 464.3157639970.

Adding to 100101431 its reverse (134101001), we get a palindrome (234202432).

The spelling of 100101431 in words is "one hundred million, one hundred one thousand, four hundred thirty-one".