1200100101220 has 48 divisors (see below), whose sum is σ = 2548638188208. Its totient is φ = 474638169600.

The previous prime is 1200100101191. The next prime is 1200100101223. The reversal of 1200100101220 is 221010010021.

It can be written as a sum of positive squares in 8 ways, for example, as 203285560384 + 996814540836 = 450872^2 + 998406^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1200100101197 and 1200100101206.

It is not an unprimeable number, because it can be changed into a prime (1200100101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075402 + ... + 1885918.

It is an arithmetic number, because the mean of its divisors is an integer number (53096628921).

Almost surely, 2^{1200100101220} is an apocalyptic number.

1200100101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200100101220 is an abundant number, since it is smaller than the sum of its proper divisors (1348538086988).

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

1200100101220 is a wasteful number, since it uses less digits than its factorization.

1200100101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811360 (or 811358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1200100101220 its reverse (221010010021), we get a palindrome (1421110111241).

The spelling of 1200100101220 in words is "one trillion, two hundred billion, one hundred million, one hundred one thousand, two hundred twenty".