1001022011121 has 64 divisors (see below), whose sum is σ = 1586326208256. Its totient is φ = 554671104000.

The previous prime is 1001022011111. The next prime is 1001022011141. The reversal of 1001022011121 is 1211102201001.

It is not a de Polignac number, because 1001022011121 - 2¹⁹ = 1001021486833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001022011097 and 1001022011106.

It is not an unprimeable number, because it can be changed into a prime (1001022011111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2836365 + ... + 3169701.

It is an arithmetic number, because the mean of its divisors is an integer number (24786347004).

Almost surely, 2^{1001022011121} is an apocalyptic number.

1001022011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001022011121 is a deficient number, since it is larger than the sum of its proper divisors (585304197135).

1001022011121 is a wasteful number, since it uses less digits than its factorization.

1001022011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333522.

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

Adding to 1001022011121 its reverse (1211102201001), we get a palindrome (2212124212122).

The spelling of 1001022011121 in words is "one trillion, one billion, twenty-two million, eleven thousand, one hundred twenty-one".