102022100113 has 2 divisors, whose sum is σ = 102022100114. Its totient is φ = 102022100112.

The previous prime is 102022100101. The next prime is 102022100129. The reversal of 102022100113 is 311001220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93112250449 + 8909849664 = 305143^2 + 94392^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022100113 - 2³³ = 93432165521 is a prime.

It is a super-2 number, since 2×102022100113² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022100093 and 102022100102.

It is not a weakly prime, because it can be changed into another prime (102022100143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51011050056 + 51011050057.

It is an arithmetic number, because the mean of its divisors is an integer number (51011050057).

Almost surely, 2^102022100113 is an apocalyptic number.

It is an amenable number.

102022100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022100113 is an equidigital number, since it uses as much as digits as its factorization.

102022100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102022100113 its reverse (311001220201), we get a palindrome (413023320314).

The spelling of 102022100113 in words is "one hundred two billion, twenty-two million, one hundred thousand, one hundred thirteen".