31100012020201 has 2 divisors, whose sum is σ = 31100012020202. Its totient is φ = 31100012020200.

The previous prime is 31100012020177. The next prime is 31100012020307. The reversal of 31100012020201 is 10202021000113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25301302401600 + 5798709618601 = 5030040^2 + 2408051^2 .

It is an emirp because it is prime and its reverse (10202021000113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31100012020201 - 2¹³ = 31100012012009 is a prime.

It is a super-3 number, since 3×31100012020201³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (31100012020601) 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, 15550006010100 + 15550006010101.

It is an arithmetic number, because the mean of its divisors is an integer number (15550006010101).

Almost surely, 2^{31100012020201} is an apocalyptic number.

It is an amenable number.

31100012020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31100012020201 is an equidigital number, since it uses as much as digits as its factorization.

31100012020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 31100012020201 its reverse (10202021000113), we get a palindrome (41302033020314).

The spelling of 31100012020201 in words is "thirty-one trillion, one hundred billion, twelve million, twenty thousand, two hundred one".