101102120000121 has 16 divisors (see below), whose sum is σ = 139456702139904. Its totient is φ = 65101069171584.

The previous prime is 101102120000117. The next prime is 101102120000153. The reversal of 101102120000121 is 121000021201101.

It is not a de Polignac number, because 101102120000121 - 2² = 101102120000117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102120000097 and 101102120000106.

It is not an unprimeable number, because it can be changed into a prime (101102120004121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3324181545 + ... + 3324211958.

It is an arithmetic number, because the mean of its divisors is an integer number (8716043883744).

Almost surely, 2^{101102120000121} is an apocalyptic number.

It is an amenable number.

101102120000121 is a deficient number, since it is larger than the sum of its proper divisors (38354582139783).

101102120000121 is a wasteful number, since it uses less digits than its factorization.

101102120000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648393680.

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

Adding to 101102120000121 its reverse (121000021201101), we get a palindrome (222102141201222).

The spelling of 101102120000121 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, one hundred twenty-one", and thus it is an aban number.