102133213120 has 112 divisors (see below), whose sum is σ = 246385994400. Its totient is φ = 40319922176.

The previous prime is 102133213097. The next prime is 102133213151. The reversal of 102133213120 is 21312331201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51764454 + ... + 51766426.

It is an arithmetic number, because the mean of its divisors is an integer number (2199874950).

Almost surely, 2^102133213120 is an apocalyptic number.

102133213120 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 102133213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123192997200).

102133213120 is an abundant number, since it is smaller than the sum of its proper divisors (144252781280).

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

102133213120 is a wasteful number, since it uses less digits than its factorization.

102133213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102133213120 its reverse (21312331201), we get a palindrome (123445544321).

The spelling of 102133213120 in words is "one hundred two billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred twenty".