221101001012 has 24 divisors (see below), whose sum is σ = 409943245320. Its totient is φ = 103982489600.

The previous prime is 221101000979. The next prime is 221101001039. The reversal of 221101001012 is 210100101122.

221101001012 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179906615716 + 41194385296 = 424154^2 + 202964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221101000984 and 221101001002.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 906587 + ... + 1124322.

It is an arithmetic number, because the mean of its divisors is an integer number (17080968555).

Almost surely, 2^221101001012 is an apocalyptic number.

It is an amenable number.

221101001012 is a deficient number, since it is larger than the sum of its proper divisors (188842244308).

221101001012 is a wasteful number, since it uses less digits than its factorization.

221101001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032531 (or 2032529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221101001012 its reverse (210100101122), we get a palindrome (431201102134).

The spelling of 221101001012 in words is "two hundred twenty-one billion, one hundred one million, one thousand, twelve".