102121103232000 has 1056 divisors, whose sum is σ = 372686486163264. Its totient is φ = 26887127040000.

The previous prime is 102121103231969. The next prime is 102121103232019. The reversal of 102121103232000 is 232301121201.

102121103232000 is a `hidden beast` number, since 1 + 0 + 212 + 110 + 323 + 20 + 0 + 0 = 666.

102121103232000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50380414987 + ... + 50380417013.

Almost surely, 2^{102121103232000} is an apocalyptic number.

102121103232000 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 102121103232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186343243081632).

102121103232000 is an abundant number, since it is smaller than the sum of its proper divisors (270565382931264).

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

102121103232000 is a wasteful number, since it uses less digits than its factorization.

102121103232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102121103232000 its reverse (232301121201), we get a palindrome (102353404353201).

The spelling of 102121103232000 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred three million, two hundred thirty-two thousand".