10121314242 has 64 divisors (see below), whose sum is σ = 23103771264. Its totient is φ = 2928307200.

The previous prime is 10121314223. The next prime is 10121314249. The reversal of 10121314242 is 24241312101.

It is not an unprimeable number, because it can be changed into a prime (10121314249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722193 + ... + 1728059.

It is an arithmetic number, because the mean of its divisors is an integer number (360996426).

Almost surely, 2^10121314242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121314242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551885632).

10121314242 is an abundant number, since it is smaller than the sum of its proper divisors (12982457022).

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

10121314242 is a wasteful number, since it uses less digits than its factorization.

10121314242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10121314242 its reverse (24241312101), we get a palindrome (34362626343).

The spelling of 10121314242 in words is "ten billion, one hundred twenty-one million, three hundred fourteen thousand, two hundred forty-two".