101112022220 has 192 divisors, whose sum is σ = 248732467200. Its totient is φ = 34137987840.

The previous prime is 101112022213. The next prime is 101112022223. The reversal of 101112022220 is 22220211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112022195 and 101112022204.

It is not an unprimeable number, because it can be changed into a prime (101112022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62452571 + ... + 62454189.

It is an arithmetic number, because the mean of its divisors is an integer number (1295481600).

Almost surely, 2^101112022220 is an apocalyptic number.

101112022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124366233600).

101112022220 is an abundant number, since it is smaller than the sum of its proper divisors (147620444980).

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

101112022220 is a wasteful number, since it uses less digits than its factorization.

101112022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101112022220 its reverse (22220211101), we get a palindrome (123332233321).

The spelling of 101112022220 in words is "one hundred one billion, one hundred twelve million, twenty-two thousand, two hundred twenty".