102210120133332 has 12 divisors (see below), whose sum is σ = 238490280311136. Its totient is φ = 34070040044440.

The previous prime is 102210120133301. The next prime is 102210120133427. The reversal of 102210120133332 is 233331021012201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×102210120133332³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4258755005544 + ... + 4258755005567.

It is an arithmetic number, because the mean of its divisors is an integer number (19874190025928).

Almost surely, 2^{102210120133332} is an apocalyptic number.

102210120133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210120133332 is an abundant number, since it is smaller than the sum of its proper divisors (136280160177804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102210120133332 is a wasteful number, since it uses less digits than its factorization.

102210120133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517510011118 (or 8517510011116 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102210120133332 its reverse (233331021012201), we get a palindrome (335541141145533).

The spelling of 102210120133332 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, one hundred thirty-three thousand, three hundred thirty-two".