102133330213012 has 96 divisors (see below), whose sum is σ = 209354035968000. Its totient is φ = 42684599728512.

The previous prime is 102133330213003. The next prime is 102133330213051. The reversal of 102133330213012 is 210312033331201.

It is a super-2 number, since 2×102133330213012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2674398414 + ... + 2674436602.

It is an arithmetic number, because the mean of its divisors is an integer number (2180771208000).

Almost surely, 2^{102133330213012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133330213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104677017984000).

102133330213012 is an abundant number, since it is smaller than the sum of its proper divisors (107220705754988).

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

102133330213012 is a wasteful number, since it uses less digits than its factorization.

102133330213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41765 (or 41763 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 102133330213012 its reverse (210312033331201), we get a palindrome (312445363544213).

The spelling of 102133330213012 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred thirty million, two hundred thirteen thousand, twelve".