101120101112211 has 8 divisors (see below), whose sum is σ = 135405457284240. Its totient is φ = 67124072840832.

The previous prime is 101120101112167. The next prime is 101120101112273. The reversal of 101120101112211 is 112211101021101.

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

It is not a de Polignac number, because 101120101112211 - 2¹¹ = 101120101110163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101120101112281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72331974346 + ... + 72331975743.

It is an arithmetic number, because the mean of its divisors is an integer number (16925682160530).

Almost surely, 2^{101120101112211} is an apocalyptic number.

101120101112211 is a deficient number, since it is larger than the sum of its proper divisors (34285356172029).

101120101112211 is a wasteful number, since it uses less digits than its factorization.

101120101112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144663950325.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101120101112211 its reverse (112211101021101), we get a palindrome (213331202133312).

The spelling of 101120101112211 in words is "one hundred one trillion, one hundred twenty billion, one hundred one million, one hundred twelve thousand, two hundred eleven".