101122101100111 has 32 divisors (see below), whose sum is σ = 124932327037056. Its totient is φ = 79704276480000.

The previous prime is 101122101100081. The next prime is 101122101100127. The reversal of 101122101100111 is 111001101221101.

It is a cyclic number.

It is not a de Polignac number, because 101122101100111 - 2⁴¹ = 98923077844559 is a prime.

It is a super-4 number, since 4×101122101100111⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101122101100091 and 101122101100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122101100211) 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, 25948921 + ... + 29590381.

It is an arithmetic number, because the mean of its divisors is an integer number (3904135219908).

Almost surely, 2^{101122101100111} is an apocalyptic number.

101122101100111 is a deficient number, since it is larger than the sum of its proper divisors (23810225936945).

101122101100111 is a wasteful number, since it uses less digits than its factorization.

101122101100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642643.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101122101100111 its reverse (111001101221101), we get a palindrome (212123202321212).

The spelling of 101122101100111 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred thousand, one hundred eleven".