101041114122 has 96 divisors (see below), whose sum is σ = 244619863488. Its totient is φ = 31073642496.

The previous prime is 101041114103. The next prime is 101041114129. The reversal of 101041114122 is 221411140101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101041114095 and 101041114104.

It is not an unprimeable number, because it can be changed into a prime (101041114129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20234058 + ... + 20239050.

It is an arithmetic number, because the mean of its divisors is an integer number (2548123578).

Almost surely, 2^101041114122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101041114122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122309931744).

101041114122 is an abundant number, since it is smaller than the sum of its proper divisors (143578749366).

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

101041114122 is a wasteful number, since it uses less digits than its factorization.

101041114122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8226 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101041114122 its reverse (221411140101), we get a palindrome (322452254223).

The spelling of 101041114122 in words is "one hundred one billion, forty-one million, one hundred fourteen thousand, one hundred twenty-two".