312021102101 has 2 divisors, whose sum is σ = 312021102102. Its totient is φ = 312021102100.

The previous prime is 312021102097. The next prime is 312021102119. The reversal of 312021102101 is 101201120213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219239332900 + 92781769201 = 468230^2 + 304601^2 .

It is an emirp because it is prime and its reverse (101201120213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312021102101 - 2² = 312021102097 is a prime.

It is a super-2 number, since 2×312021102101² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312021102161) 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, 156010551050 + 156010551051.

It is an arithmetic number, because the mean of its divisors is an integer number (156010551051).

Almost surely, 2^312021102101 is an apocalyptic number.

It is an amenable number.

312021102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312021102101 is an equidigital number, since it uses as much as digits as its factorization.

312021102101 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 14.

Adding to 312021102101 its reverse (101201120213), we get a palindrome (413222222314).

The spelling of 312021102101 in words is "three hundred twelve billion, twenty-one million, one hundred two thousand, one hundred one".