3121220010101 has 2 divisors, whose sum is σ = 3121220010102. Its totient is φ = 3121220010100.

The previous prime is 3121220010059. The next prime is 3121220010131. The reversal of 3121220010101 is 1010100221213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1835683555876 + 1285536454225 = 1354874^2 + 1133815^2 .

It is an emirp because it is prime and its reverse (1010100221213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3121220010101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121220010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560610005050 + 1560610005051.

It is an arithmetic number, because the mean of its divisors is an integer number (1560610005051).

Almost surely, 2^{3121220010101} is an apocalyptic number.

It is an amenable number.

3121220010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121220010101 is an equidigital number, since it uses as much as digits as its factorization.

3121220010101 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 3121220010101 its reverse (1010100221213), we get a palindrome (4131320231314).

The spelling of 3121220010101 in words is "three trillion, one hundred twenty-one billion, two hundred twenty million, ten thousand, one hundred one".