31003101212101 has 2 divisors, whose sum is σ = 31003101212102. Its totient is φ = 31003101212100.

The previous prime is 31003101212099. The next prime is 31003101212107. The reversal of 31003101212101 is 10121210130013.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21954856731201 + 9048244480900 = 4685601^2 + 3008030^2 .

It is a cyclic number.

It is not a de Polignac number, because 31003101212101 - 2¹ = 31003101212099 is a prime.

It is a super-2 number, since 2×31003101212101² (a number of 28 digits) contains 22 as substring.

Together with 31003101212099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31003101212107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15501550606050 + 15501550606051.

It is an arithmetic number, because the mean of its divisors is an integer number (15501550606051).

Almost surely, 2^{31003101212101} is an apocalyptic number.

It is an amenable number.

31003101212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31003101212101 is an equidigital number, since it uses as much as digits as its factorization.

31003101212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31003101212101 its reverse (10121210130013), we get a palindrome (41124311342114).

The spelling of 31003101212101 in words is "thirty-one trillion, three billion, one hundred one million, two hundred twelve thousand, one hundred one".