102133002223000 has 256 divisors, whose sum is σ = 274114701020160. Its totient is φ = 34891226496000.

The previous prime is 102133002222973. The next prime is 102133002223123. The reversal of 102133002223000 is 322200331201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8482096980 + ... + 8482109020.

It is an arithmetic number, because the mean of its divisors is an integer number (1070760550860).

Almost surely, 2^{102133002223000} is an apocalyptic number.

102133002223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133002223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137057350510080).

102133002223000 is an abundant number, since it is smaller than the sum of its proper divisors (171981698797160).

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

102133002223000 is a wasteful number, since it uses less digits than its factorization.

102133002223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16323 (or 16309 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102133002223000 its reverse (322200331201), we get a palindrome (102455202554201).

The spelling of 102133002223000 in words is "one hundred two trillion, one hundred thirty-three billion, two million, two hundred twenty-three thousand".