101110100122122 has 384 divisors, whose sum is σ = 259697423462400. Its totient is φ = 25552195282944.

The previous prime is 101110100122099. The next prime is 101110100122237. The reversal of 101110100122122 is 221221001011101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17496121029 + ... + 17496126807.

It is an arithmetic number, because the mean of its divisors is an integer number (676295373600).

Almost surely, 2^{101110100122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110100122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129848711731200).

101110100122122 is an abundant number, since it is smaller than the sum of its proper divisors (158587323340278).

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

101110100122122 is a wasteful number, since it uses less digits than its factorization.

101110100122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6193 counting only the distinct ones).

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

Adding to 101110100122122 its reverse (221221001011101), we get a palindrome (322331101133223).

The spelling of 101110100122122 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-two".