101121011211 has 16 divisors (see below), whose sum is σ = 151060382208. Its totient is φ = 59629096800.

The previous prime is 101121011149. The next prime is 101121011239. The reversal of 101121011211 is 112110121101.

It is not a de Polignac number, because 101121011211 - 2⁷ = 101121011083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41407875 + ... + 41410316.

It is an arithmetic number, because the mean of its divisors is an integer number (9441273888).

Almost surely, 2^101121011211 is an apocalyptic number.

101121011211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101121011211 is a deficient number, since it is larger than the sum of its proper divisors (49939370997).

101121011211 is a wasteful number, since it uses less digits than its factorization.

101121011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82818242.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101121011211 its reverse (112110121101), we get a palindrome (213231132312).

The spelling of 101121011211 in words is "one hundred one billion, one hundred twenty-one million, eleven thousand, two hundred eleven".