21101011011009 has 6 divisors (see below), whose sum is σ = 30479238127026. Its totient is φ = 14067340674000.

The previous prime is 21101011011007. The next prime is 21101011011023. The reversal of 21101011011009 is 90011011010112.

It can be written as a sum of positive squares in only one way, i.e., 18226307715984 + 2874703295025 = 4269228^2 + 1695495^2 .

It is not a de Polignac number, because 21101011011009 - 2¹ = 21101011011007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21101011010982 and 21101011011000.

It is not an unprimeable number, because it can be changed into a prime (21101011011001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1172278389492 + ... + 1172278389509.

It is an arithmetic number, because the mean of its divisors is an integer number (5079873021171).

Almost surely, 2^{21101011011009} is an apocalyptic number.

It is an amenable number.

21101011011009 is a deficient number, since it is larger than the sum of its proper divisors (9378227116017).

21101011011009 is a wasteful number, since it uses less digits than its factorization.

21101011011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344556779007 (or 2344556779004 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 21101011011009 in words is "twenty-one trillion, one hundred one billion, eleven million, eleven thousand, nine".