101110220221122 has 96 divisors (see below), whose sum is σ = 251297970079104. Its totient is φ = 28781380857600.

The previous prime is 101110220221121. The next prime is 101110220221189. The reversal of 101110220221122 is 221122022011101.

101110220221122 is a `hidden beast` number, since 101 + 1 + 1 + 0 + 220 + 221 + 122 = 666.

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 = 101110220221095 and 101110220221104.

It is not an unprimeable number, because it can be changed into a prime (101110220221121) 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, 232435528 + ... + 232870124.

It is an arithmetic number, because the mean of its divisors is an integer number (2617687188324).

Almost surely, 2^{101110220221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110220221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125648985039552).

101110220221122 is an abundant number, since it is smaller than the sum of its proper divisors (150187749857982).

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

101110220221122 is a wasteful number, since it uses less digits than its factorization.

101110220221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441464 (or 441461 counting only the distinct ones).

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

Adding to 101110220221122 its reverse (221122022011101), we get a palindrome (322232242232223).

The spelling of 101110220221122 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty-two".