101101022220 has 384 divisors, whose sum is σ = 323500262400. Its totient is φ = 23376384000.

The previous prime is 101101022219. The next prime is 101101022233. The reversal of 101101022220 is 22220101101.

101101022220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101101022196 and 101101022205.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 441489066 + ... + 441489294.

It is an arithmetic number, because the mean of its divisors is an integer number (842448600).

Almost surely, 2^101101022220 is an apocalyptic number.

101101022220 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 101101022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161750131200).

101101022220 is an abundant number, since it is smaller than the sum of its proper divisors (222399240180).

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

101101022220 is a wasteful number, since it uses less digits than its factorization.

101101022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

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

Adding to 101101022220 its reverse (22220101101), we get a palindrome (123321123321).

The spelling of 101101022220 in words is "one hundred one billion, one hundred one million, twenty-two thousand, two hundred twenty".