102314031410020 has 96 divisors (see below), whose sum is σ = 227200253414400. Its totient is φ = 38594678943744.

The previous prime is 102314031409991. The next prime is 102314031410161. The reversal of 102314031410020 is 20014130413201.

It is a super-2 number, since 2×102314031410020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102314031409973 and 102314031410000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248772416 + ... + 1248854344.

It is an arithmetic number, because the mean of its divisors is an integer number (2366669306400).

Almost surely, 2^{102314031410020} is an apocalyptic number.

102314031410020 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 102314031410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113600126707200).

102314031410020 is an abundant number, since it is smaller than the sum of its proper divisors (124886222004380).

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

102314031410020 is a wasteful number, since it uses less digits than its factorization.

102314031410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96917 (or 96915 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102314031410020 its reverse (20014130413201), we get a palindrome (122328161823221).

The spelling of 102314031410020 in words is "one hundred two trillion, three hundred fourteen billion, thirty-one million, four hundred ten thousand, twenty".