101200100012121 has 16 divisors (see below), whose sum is σ = 147293369199360. Its totient is φ = 61294550727120.

The previous prime is 101200100012107. The next prime is 101200100012261. The reversal of 101200100012121 is 121210001002101.

It is not a de Polignac number, because 101200100012121 - 2⁹ = 101200100011609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200100012097 and 101200100012106.

It is not an unprimeable number, because it can be changed into a prime (101200100013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971027595 + ... + 971131808.

It is an arithmetic number, because the mean of its divisors is an integer number (9205835574960).

Almost surely, 2^{101200100012121} is an apocalyptic number.

101200100012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200100012121 is a deficient number, since it is larger than the sum of its proper divisors (46093269187239).

101200100012121 is a wasteful number, since it uses less digits than its factorization.

101200100012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942160996.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101200100012121 its reverse (121210001002101), we get a palindrome (222410101014222).

The spelling of 101200100012121 in words is "one hundred one trillion, two hundred billion, one hundred million, twelve thousand, one hundred twenty-one".