102102331331 has 64 divisors (see below), whose sum is σ = 145186062336. Its totient is φ = 69197673600.

The previous prime is 102102331297. The next prime is 102102331333. The reversal of 102102331331 is 133133201201.

It is not a de Polignac number, because 102102331331 - 2¹⁸ = 102102069187 is a prime.

It is a super-2 number, since 2×102102331331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102102331333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1509446 + ... + 1575636.

It is an arithmetic number, because the mean of its divisors is an integer number (2268532224).

Almost surely, 2^102102331331 is an apocalyptic number.

102102331331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102102331331 is a deficient number, since it is larger than the sum of its proper divisors (43083731005).

102102331331 is a wasteful number, since it uses less digits than its factorization.

102102331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66312.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102102331331 its reverse (133133201201), we get a palindrome (235235532532).

The spelling of 102102331331 in words is "one hundred two billion, one hundred two million, three hundred thirty-one thousand, three hundred thirty-one".