102202113233000 has 512 divisors, whose sum is σ = 268618732462080. Its totient is φ = 36075513600000.

The previous prime is 102202113232991. The next prime is 102202113233029. The reversal of 102202113233000 is 332311202201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74763798317 + ... + 74763799683.

It is an arithmetic number, because the mean of its divisors is an integer number (524645961840).

Almost surely, 2^{102202113233000} is an apocalyptic number.

102202113233000 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 102202113233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134309366231040).

102202113233000 is an abundant number, since it is smaller than the sum of its proper divisors (166416619229080).

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

102202113233000 is a wasteful number, since it uses less digits than its factorization.

102202113233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102202113233000 its reverse (332311202201), we get a palindrome (102534424435201).

The spelling of 102202113233000 in words is "one hundred two trillion, two hundred two billion, one hundred thirteen million, two hundred thirty-three thousand".