102110222100113 has 2 divisors, whose sum is σ = 102110222100114. Its totient is φ = 102110222100112.

The previous prime is 102110222100079. The next prime is 102110222100119. The reversal of 102110222100113 is 311001222011201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75769852249744 + 26340369850369 = 8704588^2 + 5132287^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110222100113 - 2¹² = 102110222096017 is a prime.

It is a super-2 number, since 2×102110222100113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102110222100091 and 102110222100100.

It is not a weakly prime, because it can be changed into another prime (102110222100119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055111050056 + 51055111050057.

It is an arithmetic number, because the mean of its divisors is an integer number (51055111050057).

Almost surely, 2^{102110222100113} is an apocalyptic number.

It is an amenable number.

102110222100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110222100113 is an equidigital number, since it uses as much as digits as its factorization.

102110222100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102110222100113 its reverse (311001222011201), we get a palindrome (413111444111314).

The spelling of 102110222100113 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty-two million, one hundred thousand, one hundred thirteen".