10021200101011 has 16 divisors (see below), whose sum is σ = 11597422555008. Its totient is φ = 8557894339200.

The previous prime is 10021200100979. The next prime is 10021200101093. The reversal of 10021200101011 is 11010100212001.

It is a cyclic number.

It is not a de Polignac number, because 10021200101011 - 2⁵ = 10021200100979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021200111011) 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, 51134805 + ... + 51330406.

It is an arithmetic number, because the mean of its divisors is an integer number (724838909688).

Almost surely, 2^{10021200101011} is an apocalyptic number.

10021200101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021200101011 is a deficient number, since it is larger than the sum of its proper divisors (1576222453997).

10021200101011 is a wasteful number, since it uses less digits than its factorization.

10021200101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102465762.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10021200101011 its reverse (11010100212001), we get a palindrome (21031300313012).

The spelling of 10021200101011 in words is "ten trillion, twenty-one billion, two hundred million, one hundred one thousand, eleven".