102203100023113 has 2 divisors, whose sum is σ = 102203100023114. Its totient is φ = 102203100023112.

The previous prime is 102203100023081. The next prime is 102203100023251. The reversal of 102203100023113 is 311320001302201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101325724980624 + 877375042489 = 10066068^2 + 936683^2 .

It is an emirp because it is prime and its reverse (311320001302201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102203100023113 - 2⁵ = 102203100023081 is a prime.

It is a super-2 number, since 2×102203100023113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102203100083113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101550011556 + 51101550011557.

It is an arithmetic number, because the mean of its divisors is an integer number (51101550011557).

Almost surely, 2^{102203100023113} is an apocalyptic number.

It is an amenable number.

102203100023113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102203100023113 is an equidigital number, since it uses as much as digits as its factorization.

102203100023113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102203100023113 its reverse (311320001302201), we get a palindrome (413523101325314).

The spelling of 102203100023113 in words is "one hundred two trillion, two hundred three billion, one hundred million, twenty-three thousand, one hundred thirteen".