1001112111021 has 16 divisors (see below), whose sum is σ = 1456323683328. Its totient is φ = 606667690800.

The previous prime is 1001112110987. The next prime is 1001112111049. The reversal of 1001112111021 is 1201112111001.

It is not a de Polignac number, because 1001112111021 - 2¹⁹ = 1001111586733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001112110988 and 1001112111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112111721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368501 + ... + 1968506.

It is an arithmetic number, because the mean of its divisors is an integer number (91020230208).

Almost surely, 2^{1001112111021} is an apocalyptic number.

1001112111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001112111021 is a deficient number, since it is larger than the sum of its proper divisors (455211572307).

1001112111021 is a wasteful number, since it uses less digits than its factorization.

1001112111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346112.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001112111021 its reverse (1201112111001), we get a palindrome (2202224222022).

The spelling of 1001112111021 in words is "one trillion, one billion, one hundred twelve million, one hundred eleven thousand, twenty-one".