101122011101 has 4 divisors (see below), whose sum is σ = 101292537852. Its totient is φ = 100951484352.

The previous prime is 101122011091. The next prime is 101122011113. The reversal of 101122011101 is 101110221101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 28086408100 + 73035603001 = 167590^2 + 270251^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122011101 - 2⁶ = 101122011037 is a prime.

It is a super-2 number, since 2×101122011101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122011161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85262486 + ... + 85263671.

It is an arithmetic number, because the mean of its divisors is an integer number (25323134463).

Almost surely, 2^101122011101 is an apocalyptic number.

It is an amenable number.

101122011101 is a deficient number, since it is larger than the sum of its proper divisors (170526751).

101122011101 is an equidigital number, since it uses as much as digits as its factorization.

101122011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170526750.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101122011101 its reverse (101110221101), we get a palindrome (202232232202).

The spelling of 101122011101 in words is "one hundred one billion, one hundred twenty-two million, eleven thousand, one hundred one".