101212111000121 has 8 divisors (see below), whose sum is σ = 110669391151488. Its totient is φ = 91797527374000.

The previous prime is 101212111000087. The next prime is 101212111000193. The reversal of 101212111000121 is 121000111212101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101212111000121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101212111000096 and 101212111000105.

It is not an unprimeable number, because it can be changed into a prime (101212111020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10674126350 + ... + 10674135831.

It is an arithmetic number, because the mean of its divisors is an integer number (13833673893936).

Almost surely, 2^{101212111000121} is an apocalyptic number.

101212111000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212111000121 is a deficient number, since it is larger than the sum of its proper divisors (9457280151367).

101212111000121 is a wasteful number, since it uses less digits than its factorization.

101212111000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21348262623.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101212111000121 its reverse (121000111212101), we get a palindrome (222212222212222).

The spelling of 101212111000121 in words is "one hundred one trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-one", and thus it is an aban number.