102102012021220 has 96 divisors (see below), whose sum is σ = 226513676390400. Its totient is φ = 38551913172864.

The previous prime is 102102012021179. The next prime is 102102012021271. The reversal of 102102012021220 is 22120210201201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102102012021194 and 102102012021203.

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, 116588941 + ... + 117461419.

It is an arithmetic number, because the mean of its divisors is an integer number (2359517462400).

Almost surely, 2^{102102012021220} is an apocalyptic number.

102102012021220 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 102102012021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113256838195200).

102102012021220 is an abundant number, since it is smaller than the sum of its proper divisors (124411664369180).

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

102102012021220 is a wasteful number, since it uses less digits than its factorization.

102102012021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873617 (or 873615 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102102012021220 its reverse (22120210201201), we get a palindrome (124222222222421).

The spelling of 102102012021220 in words is "one hundred two trillion, one hundred two billion, twelve million, twenty-one thousand, two hundred twenty".