1011111122021 has 32 divisors (see below), whose sum is σ = 1357736276736. Its totient is φ = 727186752000.

The previous prime is 1011111121981. The next prime is 1011111122027. The reversal of 1011111122021 is 1202211111101.

It is a cyclic number.

It is not a de Polignac number, because 1011111122021 - 2¹⁸ = 1011110859877 is a prime.

It is a super-3 number, since 3×1011111122021³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1011111121987 and 1011111122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111122027) 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 31 ways as a sum of consecutive naturals, for example, 9115031 + ... + 9225291.

It is an arithmetic number, because the mean of its divisors is an integer number (42429258648).

Almost surely, 2^{1011111122021} is an apocalyptic number.

1011111122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011111122021 is a deficient number, since it is larger than the sum of its proper divisors (346625154715).

1011111122021 is a wasteful number, since it uses less digits than its factorization.

1011111122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119453.

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

Adding to 1011111122021 its reverse (1202211111101), we get a palindrome (2213322233122).

The spelling of 1011111122021 in words is "one trillion, eleven billion, one hundred eleven million, one hundred twenty-two thousand, twenty-one".