211011101002001 has 8 divisors (see below), whose sum is σ = 216238099245000. Its totient is φ = 205787930664960.

The previous prime is 211011101001959. The next prime is 211011101002019. The reversal of 211011101002001 is 100200101110112.

It can be written as a sum of positive squares in 4 ways, for example, as 1518622440976 + 209492478561025 = 1232324^2 + 14473855^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211011101002001 - 2⁶ = 211011101001937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211011101032001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 956864876 + ... + 957085373.

It is an arithmetic number, because the mean of its divisors is an integer number (27029762405625).

Almost surely, 2^{211011101002001} is an apocalyptic number.

It is an amenable number.

211011101002001 is a deficient number, since it is larger than the sum of its proper divisors (5226998242999).

211011101002001 is a wasteful number, since it uses less digits than its factorization.

211011101002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913952979.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211011101002001 its reverse (100200101110112), we get a palindrome (311211202112113).

The spelling of 211011101002001 in words is "two hundred eleven trillion, eleven billion, one hundred one million, two thousand, one".