10114104322120 has 32 divisors (see below), whose sum is σ = 22756831529400. Its totient is φ = 4045624519168.

The previous prime is 10114104322099. The next prime is 10114104322123. The reversal of 10114104322120 is 2122340141101.

It can be written as a sum of positive squares in 4 ways, for example, as 7474460730916 + 2639643591204 = 2733946^2 + 1624698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10114104322091 and 10114104322100.

It is not an unprimeable number, because it can be changed into a prime (10114104322123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13518492 + ... + 14247028.

Almost surely, 2^{10114104322120} is an apocalyptic number.

10114104322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114104322120 is an abundant number, since it is smaller than the sum of its proper divisors (12642727207280).

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

10114104322120 is a wasteful number, since it uses less digits than its factorization.

10114104322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075617 (or 1075613 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10114104322120 its reverse (2122340141101), we get a palindrome (12236444463221).

The spelling of 10114104322120 in words is "ten trillion, one hundred fourteen billion, one hundred four million, three hundred twenty-two thousand, one hundred twenty".