101100111101121 has 32 divisors (see below), whose sum is σ = 149644364322816. Its totient is φ = 60203032760000.

The previous prime is 101100111101069. The next prime is 101100111101141. The reversal of 101100111101121 is 121101111001101.

It is a cyclic number.

It is not a de Polignac number, because 101100111101121 - 2¹⁷ = 101100110970049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100111101097 and 101100111101106.

It is not an unprimeable number, because it can be changed into a prime (101100111101141) 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, 115338441 + ... + 116211686.

It is an arithmetic number, because the mean of its divisors is an integer number (4676386385088).

Almost surely, 2^{101100111101121} is an apocalyptic number.

101100111101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100111101121 is a deficient number, since it is larger than the sum of its proper divisors (48544253221695).

101100111101121 is a wasteful number, since it uses less digits than its factorization.

101100111101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231550373.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101100111101121 its reverse (121101111001101), we get a palindrome (222201222102222).

The spelling of 101100111101121 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred twenty-one".