10121340042 has 64 divisors (see below), whose sum is σ = 24699294720. Its totient is φ = 3046734000.

The previous prime is 10121340037. The next prime is 10121340077. The reversal of 10121340042 is 24004312101.

10121340042 is a `hidden beast` number, since 10 + 1 + 213 + 400 + 42 = 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 = 10121339997 and 10121340024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33273 + ... + 146115.

It is an arithmetic number, because the mean of its divisors is an integer number (385926480).

Almost surely, 2^10121340042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121340042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349647360).

10121340042 is an abundant number, since it is smaller than the sum of its proper divisors (14577954678).

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

10121340042 is a wasteful number, since it uses less digits than its factorization.

10121340042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113016 (or 113010 counting only the distinct ones).

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

Adding to 10121340042 its reverse (24004312101), we get a palindrome (34125652143).

The spelling of 10121340042 in words is "ten billion, one hundred twenty-one million, three hundred forty thousand, forty-two".