101620154114321 has 2 divisors, whose sum is σ = 101620154114322. Its totient is φ = 101620154114320.

The previous prime is 101620154114263. The next prime is 101620154114363. The reversal of 101620154114321 is 123411451026101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73689605590225 + 27930548524096 = 8584265^2 + 5284936^2 .

It is a cyclic number.

It is not a de Polignac number, because 101620154114321 - 2⁶ = 101620154114257 is a prime.

It is not a weakly prime, because it can be changed into another prime (101620154114021) 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, 50810077057160 + 50810077057161.

It is an arithmetic number, because the mean of its divisors is an integer number (50810077057161).

Almost surely, 2^{101620154114321} is an apocalyptic number.

It is an amenable number.

101620154114321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101620154114321 is an equidigital number, since it uses as much as digits as its factorization.

101620154114321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 101620154114321 in words is "one hundred one trillion, six hundred twenty billion, one hundred fifty-four million, one hundred fourteen thousand, three hundred twenty-one".