1100012212121 has 8 divisors (see below), whose sum is σ = 1176250684104. Its totient is φ = 1025055059200.

The previous prime is 1100012212067. The next prime is 1100012212141. The reversal of 1100012212121 is 1212122100011.

It can be written as a sum of positive squares in 4 ways, for example, as 247196901721 + 852815310400 = 497189^2 + 923480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100012212121 - 2³⁰ = 1098938470297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100012212096 and 1100012212105.

It is not an unprimeable number, because it can be changed into a prime (1100012212141) 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 7 ways as a sum of consecutive naturals, for example, 320327990 + ... + 320331423.

It is an arithmetic number, because the mean of its divisors is an integer number (147031335513).

Almost surely, 2^{1100012212121} is an apocalyptic number.

It is an amenable number.

1100012212121 is a deficient number, since it is larger than the sum of its proper divisors (76238471983).

1100012212121 is a wasteful number, since it uses less digits than its factorization.

1100012212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640659531.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1100012212121 its reverse (1212122100011), we get a palindrome (2312134312132).

The spelling of 1100012212121 in words is "one trillion, one hundred billion, twelve million, two hundred twelve thousand, one hundred twenty-one".