10112122121010 has 256 divisors, whose sum is σ = 29949696000000. Its totient is φ = 2127837164544.

The previous prime is 10112122120999. The next prime is 10112122121083. The reversal of 10112122121010 is 1012122121101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2022826491 + ... + 2022831489.

It is an arithmetic number, because the mean of its divisors is an integer number (116991000000).

Almost surely, 2^{10112122121010} is an apocalyptic number.

10112122121010 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 10112122121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974848000000).

10112122121010 is an abundant number, since it is smaller than the sum of its proper divisors (19837573878990).

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

10112122121010 is a wasteful number, since it uses less digits than its factorization.

10112122121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112122121010 its reverse (1012122121101), we get a palindrome (11124244242111).

Subtracting from 10112122121010 its reverse (1012122121101), we obtain a palindrome (9099999999909).

The spelling of 10112122121010 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, ten".