102002121033120 has 768 divisors, whose sum is σ = 445409026191360. Its totient is φ = 21180538368000.

The previous prime is 102002121033119. The next prime is 102002121033343. The reversal of 102002121033120 is 21330121200201.

102002121033120 is a `hidden beast` number, since 10 + 200 + 2 + 121 + 0 + 331 + 2 + 0 = 666.

It is a super-2 number, since 2×102002121033120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102002121033093 and 102002121033102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482554974 + ... + 482766306.

It is an arithmetic number, because the mean of its divisors is an integer number (579959669520).

Almost surely, 2^{102002121033120} is an apocalyptic number.

102002121033120 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 102002121033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222704513095680).

102002121033120 is an abundant number, since it is smaller than the sum of its proper divisors (343406905158240).

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

102002121033120 is a wasteful number, since it uses less digits than its factorization.

102002121033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212826 (or 212812 counting only the distinct ones).

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

Adding to 102002121033120 its reverse (21330121200201), we get a palindrome (123332242233321).

The spelling of 102002121033120 in words is "one hundred two trillion, two billion, one hundred twenty-one million, thirty-three thousand, one hundred twenty".