102042034220 has 96 divisors (see below), whose sum is σ = 257873656320. Its totient is φ = 33133777920.

The previous prime is 102042034189. The next prime is 102042034243. The reversal of 102042034220 is 22430240201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102042034192 and 102042034201.

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, 16305332 + ... + 16311588.

It is an arithmetic number, because the mean of its divisors is an integer number (2686183920).

Almost surely, 2^102042034220 is an apocalyptic number.

102042034220 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 102042034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128936828160).

102042034220 is an abundant number, since it is smaller than the sum of its proper divisors (155831622100).

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

102042034220 is a wasteful number, since it uses less digits than its factorization.

102042034220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12423 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102042034220 its reverse (22430240201), we get a palindrome (124472274421).

The spelling of 102042034220 in words is "one hundred two billion, forty-two million, thirty-four thousand, two hundred twenty".