10021200012011 has 32 divisors (see below), whose sum is σ = 10463525568000. Its totient is φ = 9592480719360.

The previous prime is 10021200011971. The next prime is 10021200012013. The reversal of 10021200012011 is 11021000212001.

It is a cyclic number.

It is not a de Polignac number, because 10021200012011 - 2³⁴ = 10004020142827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021200011983 and 10021200012001.

It is not an unprimeable number, because it can be changed into a prime (10021200012013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96167765 + ... + 96271913.

It is an arithmetic number, because the mean of its divisors is an integer number (326985174000).

Almost surely, 2^{10021200012011} is an apocalyptic number.

10021200012011 is a deficient number, since it is larger than the sum of its proper divisors (442325555989).

10021200012011 is a wasteful number, since it uses less digits than its factorization.

10021200012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104579.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10021200012011 its reverse (11021000212001), we get a palindrome (21042200224012).

The spelling of 10021200012011 in words is "ten trillion, twenty-one billion, two hundred million, twelve thousand, eleven".