101041222128 has 160 divisors (see below), whose sum is σ = 325583923200. Its totient is φ = 26232180480.

The previous prime is 101041222127. The next prime is 101041222187. The reversal of 101041222128 is 821222140101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101041222098 and 101041222107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041222127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10000023 + ... + 10010121.

It is an arithmetic number, because the mean of its divisors is an integer number (2034899520).

Almost surely, 2^101041222128 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 101041222128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162791961600).

101041222128 is an abundant number, since it is smaller than the sum of its proper divisors (224542701072).

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

101041222128 is a wasteful number, since it uses less digits than its factorization.

101041222128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835 (or 12829 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 101041222128 its reverse (821222140101), we get a palindrome (922263362229).

The spelling of 101041222128 in words is "one hundred one billion, forty-one million, two hundred twenty-two thousand, one hundred twenty-eight".