10122414040410 has 128 divisors (see below), whose sum is σ = 28150230011904. Its totient is φ = 2281723223040.

The previous prime is 10122414040379. The next prime is 10122414040411. The reversal of 10122414040410 is 1404041422101.

10122414040410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122414040410² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122414040411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4241917 + ... + 6183743.

It is an arithmetic number, because the mean of its divisors is an integer number (219923671968).

Almost surely, 2^{10122414040410} is an apocalyptic number.

10122414040410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122414040410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075115005952).

10122414040410 is an abundant number, since it is smaller than the sum of its proper divisors (18027815971494).

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

10122414040410 is a wasteful number, since it uses less digits than its factorization.

10122414040410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942188.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10122414040410 its reverse (1404041422101), we get a palindrome (11526455462511).

The spelling of 10122414040410 in words is "ten trillion, one hundred twenty-two billion, four hundred fourteen million, forty thousand, four hundred ten".