100122012100110 has 768 divisors, whose sum is σ = 348148103159808. Its totient is φ = 18082397491200.

The previous prime is 100122012100109. The next prime is 100122012100157. The reversal of 100122012100110 is 11001210221001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 240903244 + ... + 241318496.

It is an arithmetic number, because the mean of its divisors is an integer number (453317842656).

Almost surely, 2^{100122012100110} is an apocalyptic number.

100122012100110 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 100122012100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174074051579904).

100122012100110 is an abundant number, since it is smaller than the sum of its proper divisors (248026091059698).

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

100122012100110 is a wasteful number, since it uses less digits than its factorization.

100122012100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415369 (or 415362 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100122012100110 its reverse (11001210221001), we get a palindrome (111123222321111).

The spelling of 100122012100110 in words is "one hundred trillion, one hundred twenty-two billion, twelve million, one hundred thousand, one hundred ten".