102114030420 has 144 divisors (see below), whose sum is σ = 320025783168. Its totient is φ = 26335514880.

The previous prime is 102114030391. The next prime is 102114030437. The reversal of 102114030420 is 24030411201.

102114030420 is a `hidden beast` number, since 1 + 0 + 211 + 4 + 0 + 30 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102114030393 and 102114030402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066315 + ... + 1158125.

It is an arithmetic number, because the mean of its divisors is an integer number (2222401272).

Almost surely, 2^102114030420 is an apocalyptic number.

102114030420 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 102114030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160012891584).

102114030420 is an abundant number, since it is smaller than the sum of its proper divisors (217911752748).

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

102114030420 is a wasteful number, since it uses less digits than its factorization.

102114030420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92030 (or 92025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102114030420 its reverse (24030411201), we get a palindrome (126144441621).

The spelling of 102114030420 in words is "one hundred two billion, one hundred fourteen million, thirty thousand, four hundred twenty".