10021012100011 has 16 divisors (see below), whose sum is σ = 10938089949696. Its totient is φ = 9104948100000.

The previous prime is 10021012099961. The next prime is 10021012100023. The reversal of 10021012100011 is 11000121012001.

It is a cyclic number.

It is not a de Polignac number, because 10021012100011 - 2¹⁹ = 10021011575723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021012100611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243615916 + ... + 243657046.

It is an arithmetic number, because the mean of its divisors is an integer number (683630621856).

Almost surely, 2^{10021012100011} is an apocalyptic number.

10021012100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021012100011 is a deficient number, since it is larger than the sum of its proper divisors (917077849685).

10021012100011 is a wasteful number, since it uses less digits than its factorization.

10021012100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52914.

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

Adding to 10021012100011 its reverse (11000121012001), we get a palindrome (21021133112012).

It can be divided in two parts, 100210 and 12100011, that added together give a palindrome (12200221).

The spelling of 10021012100011 in words is "ten trillion, twenty-one billion, twelve million, one hundred thousand, eleven".