1011001112021 has 2 divisors, whose sum is σ = 1011001112022. Its totient is φ = 1011001112020.

The previous prime is 1011001112003. The next prime is 1011001112027. The reversal of 1011001112021 is 1202111001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 849890391025 + 161110720996 = 921895^2 + 401386^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011001112021 - 2¹⁸ = 1011000849877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1011001111993 and 1011001112011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011001112027) 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 as a sum of consecutive naturals, namely, 505500556010 + 505500556011.

It is an arithmetic number, because the mean of its divisors is an integer number (505500556011).

Almost surely, 2^{1011001112021} is an apocalyptic number.

It is an amenable number.

1011001112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001112021 is an equidigital number, since it uses as much as digits as its factorization.

1011001112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011001112021 its reverse (1202111001101), we get a palindrome (2213112113122).

It can be divided in two parts, 101100 and 1112021, that added together give a palindrome (1213121).

The spelling of 1011001112021 in words is "one trillion, eleven billion, one million, one hundred twelve thousand, twenty-one".