211100121201001 has 2 divisors, whose sum is σ = 211100121201002. Its totient is φ = 211100121201000.

The previous prime is 211100121200971. The next prime is 211100121201023. The reversal of 211100121201001 is 100102121001112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206534292432601 + 4565828768400 = 14371301^2 + 2136780^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100121201001 - 2¹³ = 211100121192809 is a prime.

It is a super-2 number, since 2×211100121201001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211100121201091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550060600500 + 105550060600501.

It is an arithmetic number, because the mean of its divisors is an integer number (105550060600501).

Almost surely, 2^{211100121201001} is an apocalyptic number.

It is an amenable number.

211100121201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100121201001 is an equidigital number, since it uses as much as digits as its factorization.

211100121201001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211100121201001 its reverse (100102121001112), we get a palindrome (311202242202113).

The spelling of 211100121201001 in words is "two hundred eleven trillion, one hundred billion, one hundred twenty-one million, two hundred one thousand, one".