102213133012200 has 768 divisors, whose sum is σ = 387774020874240. Its totient is φ = 21763501056000.

The previous prime is 102213133012183. The next prime is 102213133012259. The reversal of 102213133012200 is 2210331312201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2261480002 + ... + 2261525198.

It is an arithmetic number, because the mean of its divisors is an integer number (504914089680).

Almost surely, 2^{102213133012200} is an apocalyptic number.

102213133012200 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 102213133012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193887010437120).

102213133012200 is an abundant number, since it is smaller than the sum of its proper divisors (285560887862040).

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

102213133012200 is a wasteful number, since it uses less digits than its factorization.

102213133012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45858 (or 45849 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102213133012200 its reverse (2210331312201), we get a palindrome (104423464324401).

The spelling of 102213133012200 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirty-three million, twelve thousand, two hundred".