10122312442110 has 128 divisors (see below), whose sum is σ = 27401171927040. Its totient is φ = 2370898166400.

The previous prime is 10122312442031. The next prime is 10122312442139. The reversal of 10122312442110 is 1124421322101.

10122312442110 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 2×10122312442110² (a number of 27 digits) contains 22 as substring.

It is a congruent 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, 5533119 + ... + 7131621.

It is an arithmetic number, because the mean of its divisors is an integer number (214071655680).

Almost surely, 2^{10122312442110} is an apocalyptic number.

10122312442110 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 10122312442110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700585963520).

10122312442110 is an abundant number, since it is smaller than the sum of its proper divisors (17278859484930).

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

10122312442110 is a wasteful number, since it uses less digits than its factorization.

10122312442110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599174.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10122312442110 its reverse (1124421322101), we get a palindrome (11246733764211).

The spelling of 10122312442110 in words is "ten trillion, one hundred twenty-two billion, three hundred twelve million, four hundred forty-two thousand, one hundred ten".