102122112110010 has 512 divisors, whose sum is σ = 276857559982080. Its totient is φ = 23987670220800.

The previous prime is 102122112109889. The next prime is 102122112110017. The reversal of 102122112110010 is 10011211221201.

It is a happy number.

102122112110010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (102122112110017) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26923834674 + ... + 26923838466.

It is an arithmetic number, because the mean of its divisors is an integer number (540737421840).

Almost surely, 2^{102122112110010} is an apocalyptic number.

102122112110010 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 102122112110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138428779991040).

102122112110010 is an abundant number, since it is smaller than the sum of its proper divisors (174735447872070).

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

102122112110010 is a wasteful number, since it uses less digits than its factorization.

102122112110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294.

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

Adding to 102122112110010 its reverse (10011211221201), we get a palindrome (112133323331211).

The spelling of 102122112110010 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred ten thousand, ten".