102102100201120 has 192 divisors, whose sum is σ = 249827316802560. Its totient is φ = 39391733145600.

The previous prime is 102102100201117. The next prime is 102102100201147. The reversal of 102102100201120 is 21102001201201.

It is a self number, because there is not a number n which added to its sum of digits gives 102102100201120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6686880846 + ... + 6686896114.

It is an arithmetic number, because the mean of its divisors is an integer number (1301183941680).

Almost surely, 2^{102102100201120} is an apocalyptic number.

102102100201120 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 102102100201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124913658401280).

102102100201120 is an abundant number, since it is smaller than the sum of its proper divisors (147725216601440).

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

102102100201120 is a wasteful number, since it uses less digits than its factorization.

102102100201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19719 (or 19711 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102102100201120 its reverse (21102001201201), we get a palindrome (123204101402321).

The spelling of 102102100201120 in words is "one hundred two trillion, one hundred two billion, one hundred million, two hundred one thousand, one hundred twenty".