102233002212133 has 8 divisors (see below), whose sum is σ = 110116555252088. Its totient is φ = 94352231450304.

The previous prime is 102233002212119. The next prime is 102233002212137. The reversal of 102233002212133 is 331212200332201.

It can be written as a sum of positive squares in 4 ways, for example, as 9919684099809 + 92313318112324 = 3149553^2 + 9607982^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102233002212133 - 2⁵ = 102233002212101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102233002212098 and 102233002212107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233002212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695493210 + ... + 695640187.

It is an arithmetic number, because the mean of its divisors is an integer number (13764569406511).

Almost surely, 2^{102233002212133} is an apocalyptic number.

102233002212133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102233002212133 is a deficient number, since it is larger than the sum of its proper divisors (7883553039955).

102233002212133 is a wasteful number, since it uses less digits than its factorization.

102233002212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391139063.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 102233002212133 its reverse (331212200332201), we get a palindrome (433445202544334).

The spelling of 102233002212133 in words is "one hundred two trillion, two hundred thirty-three billion, two million, two hundred twelve thousand, one hundred thirty-three".