101111002101211 has 2 divisors, whose sum is σ = 101111002101212. Its totient is φ = 101111002101210.

The previous prime is 101111002101199. The next prime is 101111002101223. The reversal of 101111002101211 is 112101200111101.

It is a balanced prime because it is at equal distance from previous prime (101111002101199) and next prime (101111002101223).

It is a cyclic number.

It is not a de Polignac number, because 101111002101211 - 2⁹ = 101111002100699 is a prime.

It is a super-2 number, since 2×101111002101211² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111002101191 and 101111002101200.

It is not a weakly prime, because it can be changed into another prime (101111002101271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555501050605 + 50555501050606.

It is an arithmetic number, because the mean of its divisors is an integer number (50555501050606).

Almost surely, 2^{101111002101211} is an apocalyptic number.

101111002101211 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111002101211 is an equidigital number, since it uses as much as digits as its factorization.

101111002101211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101111002101211 its reverse (112101200111101), we get a palindrome (213212202212312).

The spelling of 101111002101211 in words is "one hundred one trillion, one hundred eleven billion, two million, one hundred one thousand, two hundred eleven".