101112220101220 has 12 divisors (see below), whose sum is σ = 212335662212604. Its totient is φ = 40444888040480.

The previous prime is 101112220101209. The next prime is 101112220101247. The reversal of 101112220101220 is 22101022211101.

101112220101220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23199963089956 + 77912257011264 = 4816634^2 + 8826792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101112220101194 and 101112220101203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527805502511 + ... + 2527805502550.

It is an arithmetic number, because the mean of its divisors is an integer number (17694638517717).

Almost surely, 2^{101112220101220} is an apocalyptic number.

101112220101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112220101220 is an abundant number, since it is smaller than the sum of its proper divisors (111223442111384).

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

101112220101220 is a wasteful number, since it uses less digits than its factorization.

101112220101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055611005070 (or 5055611005068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101112220101220 its reverse (22101022211101), we get a palindrome (123213242312321).

The spelling of 101112220101220 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty million, one hundred one thousand, two hundred twenty".