101110122212121 has 48 divisors (see below), whose sum is σ = 169273575956160. Its totient is φ = 57566722066560.

The previous prime is 101110122212089. The next prime is 101110122212131. The reversal of 101110122212121 is 121212221011101.

It is a happy number.

101110122212121 is a `hidden beast` number, since 101 + 110 + 122 + 212 + 121 = 666.

It is not a de Polignac number, because 101110122212121 - 2⁵ = 101110122212089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101110122212094 and 101110122212103.

It is not an unprimeable number, because it can be changed into a prime (101110122212131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475809135 + ... + 476021588.

It is an arithmetic number, because the mean of its divisors is an integer number (3526532832420).

Almost surely, 2^{101110122212121} is an apocalyptic number.

101110122212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101110122212121 is a deficient number, since it is larger than the sum of its proper divisors (68163453744039).

101110122212121 is a wasteful number, since it uses less digits than its factorization.

101110122212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951830806 (or 951830803 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101110122212121 its reverse (121212221011101), we get a palindrome (222322343223222).

The spelling of 101110122212121 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".