102033122113 has 16 divisors (see below), whose sum is σ = 114701662096. Its totient is φ = 90136592640.

The previous prime is 102033122041. The next prime is 102033122161. The reversal of 102033122113 is 311221330201.

It can be written as a sum of positive squares in 8 ways, for example, as 634183489 + 101398938624 = 25183^2 + 318432^2 .

It is a cyclic number.

It is not a de Polignac number, because 102033122113 - 2¹³ = 102033113921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102033120113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1709406 + ... + 1768087.

It is an arithmetic number, because the mean of its divisors is an integer number (7168853881).

Almost surely, 2^102033122113 is an apocalyptic number.

102033122113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102033122113 is a deficient number, since it is larger than the sum of its proper divisors (12668539983).

102033122113 is a wasteful number, since it uses less digits than its factorization.

102033122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477604.

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

Adding to 102033122113 its reverse (311221330201), we get a palindrome (413254452314).

The spelling of 102033122113 in words is "one hundred two billion, thirty-three million, one hundred twenty-two thousand, one hundred thirteen".