102000331233000 has 384 divisors, whose sum is σ = 354847588935840. Its totient is φ = 26407503360000.

The previous prime is 102000331232971. The next prime is 102000331233001. The reversal of 102000331233000 is 332133000201.

102000331233000 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 0 + 331 + 2 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 28667230596 + 101971664002404 = 169314^2 + 10098102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102000331233001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153180780 + ... + 153845220.

Almost surely, 2^{102000331233000} is an apocalyptic number.

102000331233000 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 102000331233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177423794467920).

102000331233000 is an abundant number, since it is smaller than the sum of its proper divisors (252847257702840).

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

102000331233000 is a wasteful number, since it uses less digits than its factorization.

102000331233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664966 (or 664949 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102000331233000 its reverse (332133000201), we get a palindrome (102332464233201).

The spelling of 102000331233000 in words is "one hundred two trillion, three hundred thirty-one million, two hundred thirty-three thousand".