1121001002121 has 128 divisors (see below), whose sum is σ = 2058713395200. Its totient is φ = 523708416000.

The previous prime is 1121001002087. The next prime is 1121001002221. The reversal of 1121001002121 is 1212001001211.

It is not a de Polignac number, because 1121001002121 - 2¹⁰ = 1121001001097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121001002097 and 1121001002106.

It is not an unprimeable number, because it can be changed into a prime (1121001002221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51769905 + ... + 51791553.

It is an arithmetic number, because the mean of its divisors is an integer number (16083698400).

Almost surely, 2^{1121001002121} is an apocalyptic number.

1121001002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121001002121 is a deficient number, since it is larger than the sum of its proper divisors (937712393079).

1121001002121 is a wasteful number, since it uses less digits than its factorization.

1121001002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22127.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121001002121 its reverse (1212001001211), we get a palindrome (2333002003332).

The spelling of 1121001002121 in words is "one trillion, one hundred twenty-one billion, one million, two thousand, one hundred twenty-one".