101122120011 has 24 divisors (see below), whose sum is σ = 150761783232. Its totient is φ = 59791316800.

The previous prime is 101122120007. The next prime is 101122120049. The reversal of 101122120011 is 110021221101.

It is not a de Polignac number, because 101122120011 - 2² = 101122120007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122120061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855981 + ... + 966926.

It is an arithmetic number, because the mean of its divisors is an integer number (6281740968).

Almost surely, 2^101122120011 is an apocalyptic number.

101122120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101122120011 is a deficient number, since it is larger than the sum of its proper divisors (49639663221).

101122120011 is a wasteful number, since it uses less digits than its factorization.

101122120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823003 (or 1822962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122120011 its reverse (110021221101), we get a palindrome (211143341112).

The spelling of 101122120011 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, eleven".