102013221329953 has 2 divisors, whose sum is σ = 102013221329954. Its totient is φ = 102013221329952.

The previous prime is 102013221329941. The next prime is 102013221330023. The reversal of 102013221329953 is 359923122310201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73973898252864 + 28039323077089 = 8600808^2 + 5295217^2 .

It is an emirp because it is prime and its reverse (359923122310201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102013221329953 - 2⁹ = 102013221329441 is a prime.

It is a super-2 number, since 2×102013221329953² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102013221329153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006610664976 + 51006610664977.

It is an arithmetic number, because the mean of its divisors is an integer number (51006610664977).

Almost surely, 2^{102013221329953} is an apocalyptic number.

It is an amenable number.

102013221329953 is a deficient number, since it is larger than the sum of its proper divisors (1).

102013221329953 is an equidigital number, since it uses as much as digits as its factorization.

102013221329953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 102013221329953 in words is "one hundred two trillion, thirteen billion, two hundred twenty-one million, three hundred twenty-nine thousand, nine hundred fifty-three".