1000221112121 has 64 divisors (see below), whose sum is σ = 1288762030080. Its totient is φ = 753665472000.

The previous prime is 1000221112103. The next prime is 1000221112123. The reversal of 1000221112121 is 1212111220001.

It is not a de Polignac number, because 1000221112121 - 2¹⁴ = 1000221095737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000221112096 and 1000221112105.

It is not an unprimeable number, because it can be changed into a prime (1000221112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332187506 + ... + 332190516.

It is an arithmetic number, because the mean of its divisors is an integer number (20136906720).

Almost surely, 2^{1000221112121} is an apocalyptic number.

1000221112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000221112121 is a deficient number, since it is larger than the sum of its proper divisors (288540917959).

1000221112121 is a wasteful number, since it uses less digits than its factorization.

1000221112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966.

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

Adding to 1000221112121 its reverse (1212111220001), we get a palindrome (2212332332122).

The spelling of 1000221112121 in words is "one trillion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".