101220220220 has 144 divisors (see below), whose sum is σ = 258376184640. Its totient is φ = 33149039616.

The previous prime is 101220220181. The next prime is 101220220223. The reversal of 101220220220 is 22022022101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101220220195 and 101220220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220220223) 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, 18682952 + ... + 18688368.

It is an arithmetic number, because the mean of its divisors is an integer number (1794279060).

Almost surely, 2^101220220220 is an apocalyptic number.

101220220220 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 101220220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129188092320).

101220220220 is an abundant number, since it is smaller than the sum of its proper divisors (157155964420).

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

101220220220 is a wasteful number, since it uses less digits than its factorization.

101220220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 101220220220 its reverse (22022022101), we get a palindrome (123242242321).

The spelling of 101220220220 in words is "one hundred one billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty".