101122100011101 has 32 divisors (see below), whose sum is σ = 148494782661120. Its totient is φ = 60832946304000.

The previous prime is 101122100011099. The next prime is 101122100011189. The reversal of 101122100011101 is 101110001221101.

It is not a de Polignac number, because 101122100011101 - 2¹ = 101122100011099 is a prime.

It is a super-2 number, since 2×101122100011101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122100011601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162169980 + ... + 162792341.

It is an arithmetic number, because the mean of its divisors is an integer number (4640461958160).

Almost surely, 2^{101122100011101} is an apocalyptic number.

It is an amenable number.

101122100011101 is a deficient number, since it is larger than the sum of its proper divisors (47372682650019).

101122100011101 is a wasteful number, since it uses less digits than its factorization.

101122100011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324962517.

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

Adding to 101122100011101 its reverse (101110001221101), we get a palindrome (202232101232202).

The spelling of 101122100011101 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred million, eleven thousand, one hundred one".