101011111000211 has 8 divisors (see below), whose sum is σ = 106513698033600. Its totient is φ = 95527145243880.

The previous prime is 101011111000201. The next prime is 101011111000213. The reversal of 101011111000211 is 112000111110101.

It is a happy number.

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

It is not a de Polignac number, because 101011111000211 - 2¹⁰ = 101011110999187 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011111000192 and 101011111000201.

It is not an unprimeable number, because it can be changed into a prime (101011111000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4655308121 + ... + 4655329818.

It is an arithmetic number, because the mean of its divisors is an integer number (13314212254200).

Almost surely, 2^{101011111000211} is an apocalyptic number.

101011111000211 is a deficient number, since it is larger than the sum of its proper divisors (5502587033389).

101011111000211 is an equidigital number, since it uses as much as digits as its factorization.

101011111000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310638529.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101011111000211 its reverse (112000111110101), we get a palindrome (213011222110312).

The spelling of 101011111000211 in words is "one hundred one trillion, eleven billion, one hundred eleven million, two hundred eleven", and thus it is an aban number.