102001213121320 has 128 divisors (see below), whose sum is σ = 238309508052000. Its totient is φ = 39245511639040.

The previous prime is 102001213121287. The next prime is 102001213121333. The reversal of 102001213121320 is 23121312100201.

It can be written as a sum of positive squares in 16 ways, for example, as 26797663809316 + 75203549312004 = 5176646^2 + 8671998^2 .

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 31 ways as a sum of consecutive naturals, for example, 1009053180 + ... + 1009154260.

Almost surely, 2^{102001213121320} is an apocalyptic number.

102001213121320 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 102001213121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119154754026000).

102001213121320 is an abundant number, since it is smaller than the sum of its proper divisors (136308294930680).

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

102001213121320 is a wasteful number, since it uses less digits than its factorization.

102001213121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104383 (or 104379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102001213121320 its reverse (23121312100201), we get a palindrome (125122525221521).

The spelling of 102001213121320 in words is "one hundred two trillion, one billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".