220101011101020 has 768 divisors, whose sum is σ = 768597264433152. Its totient is φ = 45915595407360.

The previous prime is 220101011101019. The next prime is 220101011101057. The reversal of 220101011101020 is 20101110101022.

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 = 220101011100987 and 220101011101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 64907403525 + ... + 64907406915.

It is an arithmetic number, because the mean of its divisors is an integer number (1000777688064).

Almost surely, 2^{220101011101020} is an apocalyptic number.

220101011101020 is a gapful number since it is divisible by the number (20) 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 220101011101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384298632216576).

220101011101020 is an abundant number, since it is smaller than the sum of its proper divisors (548496253332132).

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

220101011101020 is a wasteful number, since it uses less digits than its factorization.

220101011101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 220101011101020 its reverse (20101110101022), we get a palindrome (240202121202042).

The spelling of 220101011101020 in words is "two hundred twenty trillion, one hundred one billion, eleven million, one hundred one thousand, twenty".