31232102101 has 2 divisors, whose sum is σ = 31232102102. Its totient is φ = 31232102100.

The previous prime is 31232102089. The next prime is 31232102107. The reversal of 31232102101 is 10120123213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17718272100 + 13513830001 = 133110^2 + 116249^2 .

It is a cyclic number.

It is not a de Polignac number, because 31232102101 - 2²⁵ = 31198547669 is a prime.

It is a super-2 number, since 2×31232102101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31232102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15616051050 + 15616051051.

It is an arithmetic number, because the mean of its divisors is an integer number (15616051051).

Almost surely, 2^31232102101 is an apocalyptic number.

It is an amenable number.

31232102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31232102101 is an equidigital number, since it uses as much as digits as its factorization.

31232102101 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 16.

Adding to 31232102101 its reverse (10120123213), we get a palindrome (41352225314).

The spelling of 31232102101 in words is "thirty-one billion, two hundred thirty-two million, one hundred two thousand, one hundred one".