101431203101 has 2 divisors, whose sum is σ = 101431203102. Its totient is φ = 101431203100.

The previous prime is 101431203091. The next prime is 101431203113. The reversal of 101431203101 is 101302134101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100568899876 + 862303225 = 317126^2 + 29365^2 .

It is a cyclic number.

It is not a de Polignac number, because 101431203101 - 2¹⁸ = 101430940957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101431203101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101431203121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50715601550 + 50715601551.

It is an arithmetic number, because the mean of its divisors is an integer number (50715601551).

Almost surely, 2^101431203101 is an apocalyptic number.

It is an amenable number.

101431203101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101431203101 is an equidigital number, since it uses as much as digits as its factorization.

101431203101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101431203101 its reverse (101302134101), we get a palindrome (202733337202).

The spelling of 101431203101 in words is "one hundred one billion, four hundred thirty-one million, two hundred three thousand, one hundred one".