102102020211120 has 160 divisors (see below), whose sum is σ = 325671641722560. Its totient is φ = 26442366382080.

The previous prime is 102102020211097. The next prime is 102102020211221. The reversal of 102102020211120 is 21112020201201.

It is a super-5 number, since 5×102102020211120⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102102020211120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5822515 + ... + 15430674.

It is an arithmetic number, because the mean of its divisors is an integer number (2035447760766).

Almost surely, 2^{102102020211120} is an apocalyptic number.

102102020211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102020211120 is an abundant number, since it is smaller than the sum of its proper divisors (223569621511440).

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

102102020211120 is a wasteful number, since it uses less digits than its factorization.

102102020211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21253783 (or 21253777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102102020211120 its reverse (21112020201201), we get a palindrome (123214040412321).

The spelling of 102102020211120 in words is "one hundred two trillion, one hundred two billion, twenty million, two hundred eleven thousand, one hundred twenty".