102102322233000 has 128 divisors (see below), whose sum is σ = 318792293464320. Its totient is φ = 27207367289600.

The previous prime is 102102322232987. The next prime is 102102322233013. The reversal of 102102322233000 is 332223201201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102102322232987) and next prime (102102322233013).

It is a super-2 number, since 2×102102322233000² (a number of 29 digits) contains 22 as substring.

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, 8347467 + ... + 16549466.

It is an arithmetic number, because the mean of its divisors is an integer number (2490564792690).

Almost surely, 2^{102102322233000} is an apocalyptic number.

102102322233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102322233000 is an abundant number, since it is smaller than the sum of its proper divisors (216689971231320).

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

102102322233000 is a wasteful number, since it uses less digits than its factorization.

102102322233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24898324 (or 24898310 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102102322233000 its reverse (332223201201), we get a palindrome (102434545434201).

The spelling of 102102322233000 in words is "one hundred two trillion, one hundred two billion, three hundred twenty-two million, two hundred thirty-three thousand".