102121021313220 has 576 divisors, whose sum is σ = 368894749547520. Its totient is φ = 20906848714752.

The previous prime is 102121021313203. The next prime is 102121021313273. The reversal of 102121021313220 is 22313120121201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 518890996 + ... + 519087764.

It is an arithmetic number, because the mean of its divisors is an integer number (640442273520).

Almost surely, 2^{102121021313220} is an apocalyptic number.

102121021313220 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 102121021313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184447374773760).

102121021313220 is an abundant number, since it is smaller than the sum of its proper divisors (266773728234300).

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

102121021313220 is a wasteful number, since it uses less digits than its factorization.

102121021313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197212 (or 197203 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102121021313220 its reverse (22313120121201), we get a palindrome (124434141434421).

The spelling of 102121021313220 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-one million, three hundred thirteen thousand, two hundred twenty".