101201210000121 has 24 divisors (see below), whose sum is σ = 171234700411104. Its totient is φ = 52572057142080.

The previous prime is 101201210000071. The next prime is 101201210000179. The reversal of 101201210000121 is 121000012102101.

It is not a de Polignac number, because 101201210000121 - 2⁶ = 101201210000057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101201210000097 and 101201210000106.

It is not an unprimeable number, because it can be changed into a prime (101201210004121) 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 23 ways as a sum of consecutive naturals, for example, 31292889540 + ... + 31292892773.

It is an arithmetic number, because the mean of its divisors is an integer number (7134779183796).

Almost surely, 2^{101201210000121} is an apocalyptic number.

101201210000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201210000121 is a deficient number, since it is larger than the sum of its proper divisors (70033490410983).

101201210000121 is a wasteful number, since it uses less digits than its factorization.

101201210000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62585782341 (or 62585782334 counting only the distinct ones).

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

Adding to 101201210000121 its reverse (121000012102101), we get a palindrome (222201222102222).

The spelling of 101201210000121 in words is "one hundred one trillion, two hundred one billion, two hundred ten million, one hundred twenty-one", and thus it is an aban number.