10122111024 has 80 divisors (see below), whose sum is σ = 26550800640. Its totient is φ = 3322287360.

The previous prime is 10122111023. The next prime is 10122111029. The reversal of 10122111024 is 42011122101.

It is a junction number, because it is equal to n+sod(n) for n = 10122110994 and 10122111012.

It is not an unprimeable number, because it can be changed into a prime (10122111023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805407 + ... + 3808065.

It is an arithmetic number, because the mean of its divisors is an integer number (331885008).

Almost surely, 2^10122111024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275400320).

10122111024 is an abundant number, since it is smaller than the sum of its proper divisors (16428689616).

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

10122111024 is a wasteful number, since it uses less digits than its factorization.

10122111024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122111024 its reverse (42011122101), we get a palindrome (52133233125).

The spelling of 10122111024 in words is "ten billion, one hundred twenty-two million, one hundred eleven thousand, twenty-four".