1000022122121 has 32 divisors (see below), whose sum is σ = 1159159237632. Its totient is φ = 852636764160.

The previous prime is 1000022122093. The next prime is 1000022122133. The reversal of 1000022122121 is 1212212200001.

It is a cyclic number.

It is not a de Polignac number, because 1000022122121 - 2¹⁴ = 1000022105737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000022122096 and 1000022122105.

It is not an unprimeable number, because it can be changed into a prime (1000022122181) 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 31 ways as a sum of consecutive naturals, for example, 63216605 + ... + 63232421.

It is an arithmetic number, because the mean of its divisors is an integer number (36223726176).

Almost surely, 2^{1000022122121} is an apocalyptic number.

1000022122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000022122121 is a deficient number, since it is larger than the sum of its proper divisors (159137115511).

1000022122121 is a wasteful number, since it uses less digits than its factorization.

1000022122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17009.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000022122121 its reverse (1212212200001), we get a palindrome (2212234322122).

The spelling of 1000022122121 in words is "one trillion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".