10021211111021 has 64 divisors (see below), whose sum is σ = 11279354265600. Its totient is φ = 8826801984000.

The previous prime is 10021211111011. The next prime is 10021211111029. The reversal of 10021211111021 is 12011111212001.

It is not a de Polignac number, because 10021211111021 - 2¹⁴ = 10021211094637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021211110987 and 10021211111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021211111029) 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, 6812515316 + ... + 6812516786.

It is an arithmetic number, because the mean of its divisors is an integer number (176239910400).

Almost surely, 2^{10021211111021} is an apocalyptic number.

10021211111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021211111021 is a deficient number, since it is larger than the sum of its proper divisors (1258143154579).

10021211111021 is a wasteful number, since it uses less digits than its factorization.

10021211111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218.

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

Adding to 10021211111021 its reverse (12011111212001), we get a palindrome (22032322323022).

The spelling of 10021211111021 in words is "ten trillion, twenty-one billion, two hundred eleven million, one hundred eleven thousand, twenty-one".