101101110121 has 16 divisors (see below), whose sum is σ = 116578756800. Its totient is φ = 86711385600.

The previous prime is 101101110107. The next prime is 101101110163. The reversal of 101101110121 is 121011101101.

It is a cyclic number.

It is not a de Polignac number, because 101101110121 - 2⁹ = 101101109609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101110098 and 101101110107.

It is not an unprimeable number, because it can be changed into a prime (101101110181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953236 + ... + 1053973.

It is an arithmetic number, because the mean of its divisors is an integer number (7286172300).

Almost surely, 2^101101110121 is an apocalyptic number.

101101110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101110121 is a deficient number, since it is larger than the sum of its proper divisors (15477646679).

101101110121 is a wasteful number, since it uses less digits than its factorization.

101101110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007480.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101101110121 its reverse (121011101101), we get a palindrome (222112211222).

The spelling of 101101110121 in words is "one hundred one billion, one hundred one million, one hundred ten thousand, one hundred twenty-one".