101110022220 has 192 divisors, whose sum is σ = 297077760000. Its totient is φ = 25662873600.

The previous prime is 101110022213. The next prime is 101110022249. The reversal of 101110022220 is 22220011101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101110022196 and 101110022205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80952156 + ... + 80953404.

It is an arithmetic number, because the mean of its divisors is an integer number (1547280000).

Almost surely, 2^101110022220 is an apocalyptic number.

101110022220 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 101110022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148538880000).

101110022220 is an abundant number, since it is smaller than the sum of its proper divisors (195967737780).

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

101110022220 is a wasteful number, since it uses less digits than its factorization.

101110022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101110022220 its reverse (22220011101), we get a palindrome (123330033321).

The spelling of 101110022220 in words is "one hundred one billion, one hundred ten million, twenty-two thousand, two hundred twenty".