10010122313010 has 128 divisors (see below), whose sum is σ = 25324324945920. Its totient is φ = 2525316155136.

The previous prime is 10010122312999. The next prime is 10010122313027. The reversal of 10010122313010 is 1031322101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2128452319 + ... + 2128457021.

It is an arithmetic number, because the mean of its divisors is an integer number (197846288640).

Almost surely, 2^{10010122313010} is an apocalyptic number.

10010122313010 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 10010122313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662162472960).

10010122313010 is an abundant number, since it is smaller than the sum of its proper divisors (15314202632910).

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

10010122313010 is a wasteful number, since it uses less digits than its factorization.

10010122313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10010122313010 its reverse (1031322101001), we get a palindrome (11041444414011).

The spelling of 10010122313010 in words is "ten trillion, ten billion, one hundred twenty-two million, three hundred thirteen thousand, ten".