100110102128 has 80 divisors (see below), whose sum is σ = 210849004800. Its totient is φ = 45918850560.

The previous prime is 100110102121. The next prime is 100110102179. The reversal of 100110102128 is 821201011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110102121) 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, 833963 + ... + 946421.

It is an arithmetic number, because the mean of its divisors is an integer number (2635612560).

Almost surely, 2^100110102128 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 100110102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105424502400).

100110102128 is an abundant number, since it is smaller than the sum of its proper divisors (110738902672).

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

100110102128 is a wasteful number, since it uses less digits than its factorization.

100110102128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112590 (or 112584 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100110102128 its reverse (821201011001), we get a palindrome (921311113129).

The spelling of 100110102128 in words is "one hundred billion, one hundred ten million, one hundred two thousand, one hundred twenty-eight".