102102111201137 has 2 divisors, whose sum is σ = 102102111201138. Its totient is φ = 102102111201136.

The previous prime is 102102111201107. The next prime is 102102111201161. The reversal of 102102111201137 is 731102111201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100107248740321 + 1994862460816 = 10005361^2 + 1412396^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102111201137 - 2⁶ = 102102111201073 is a prime.

It is a super-2 number, since 2×102102111201137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102102111201107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051055600568 + 51051055600569.

It is an arithmetic number, because the mean of its divisors is an integer number (51051055600569).

Almost surely, 2^{102102111201137} is an apocalyptic number.

It is an amenable number.

102102111201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102111201137 is an equidigital number, since it uses as much as digits as its factorization.

102102111201137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 102102111201137 its reverse (731102111201201), we get a palindrome (833204222402338).

The spelling of 102102111201137 in words is "one hundred two trillion, one hundred two billion, one hundred eleven million, two hundred one thousand, one hundred thirty-seven".