102133001033197 has 2 divisors, whose sum is σ = 102133001033198. Its totient is φ = 102133001033196.

The previous prime is 102133001033123. The next prime is 102133001033207. The reversal of 102133001033197 is 791330100331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101085610489956 + 1047390543241 = 10054134^2 + 1023421^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133001033197 - 2¹⁹ = 102133000508909 is a prime.

It is a super-2 number, since 2×102133001033197² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133001333197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066500516598 + 51066500516599.

It is an arithmetic number, because the mean of its divisors is an integer number (51066500516599).

Almost surely, 2^{102133001033197} is an apocalyptic number.

It is an amenable number.

102133001033197 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133001033197 is an equidigital number, since it uses as much as digits as its factorization.

102133001033197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 34.

Adding to 102133001033197 its reverse (791330100331201), we get a palindrome (893463101364398).

The spelling of 102133001033197 in words is "one hundred two trillion, one hundred thirty-three billion, one million, thirty-three thousand, one hundred ninety-seven".