1001122012121 has 16 divisors (see below), whose sum is σ = 1274708551680. Its totient is φ = 763497304080.

The previous prime is 1001122012067. The next prime is 1001122012141. The reversal of 1001122012121 is 1212102211001.

It is not a de Polignac number, because 1001122012121 - 2¹⁸ = 1001121749977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001122012096 and 1001122012105.

It is not an unprimeable number, because it can be changed into a prime (1001122012141) 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, 138311111 + ... + 138318348.

It is an arithmetic number, because the mean of its divisors is an integer number (79669284480).

Almost surely, 2^{1001122012121} is an apocalyptic number.

1001122012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001122012121 is a deficient number, since it is larger than the sum of its proper divisors (273586539559).

1001122012121 is a wasteful number, since it uses less digits than its factorization.

1001122012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276629524.

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

Adding to 1001122012121 its reverse (1212102211001), we get a palindrome (2213224223122).

The spelling of 1001122012121 in words is "one trillion, one billion, one hundred twenty-two million, twelve thousand, one hundred twenty-one".