1001111122121 has 32 divisors (see below), whose sum is σ = 1199754547200. Its totient is φ = 824596692480.

The previous prime is 1001111122111. The next prime is 1001111122169. The reversal of 1001111122121 is 1212211111001.

It is not a de Polignac number, because 1001111122121 - 2⁶ = 1001111122057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001111122096 and 1001111122105.

It is not an unprimeable number, because it can be changed into a prime (1001111122111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55218560 + ... + 55236686.

It is an arithmetic number, because the mean of its divisors is an integer number (37492329600).

Almost surely, 2^{1001111122121} is an apocalyptic number.

1001111122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001111122121 is a deficient number, since it is larger than the sum of its proper divisors (198643425079).

1001111122121 is a wasteful number, since it uses less digits than its factorization.

1001111122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29669.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1001111122121 its reverse (1212211111001), we get a palindrome (2213322233122).

The spelling of 1001111122121 in words is "one trillion, one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".