1002112221121 has 16 divisors (see below), whose sum is σ = 1179360010368. Its totient is φ = 841244435200.

The previous prime is 1002112221109. The next prime is 1002112221137. The reversal of 1002112221121 is 1211222112001.

It is a cyclic number.

It is not a de Polignac number, because 1002112221121 - 2²⁷ = 1001978003393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002112221095 and 1002112221104.

It is not an unprimeable number, because it can be changed into a prime (1002112221181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50545645 + ... + 50565466.

It is an arithmetic number, because the mean of its divisors is an integer number (73710000648).

Almost surely, 2^{1002112221121} is an apocalyptic number.

1002112221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002112221121 is a deficient number, since it is larger than the sum of its proper divisors (177247789247).

1002112221121 is a wasteful number, since it uses less digits than its factorization.

1002112221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101111192.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1002112221121 its reverse (1211222112001), we get a palindrome (2213334333122).

The spelling of 1002112221121 in words is "one trillion, two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".