101120001002121 has 16 divisors (see below), whose sum is σ = 137206331982720. Its totient is φ = 66226234120320.

The previous prime is 101120001002113. The next prime is 101120001002143. The reversal of 101120001002121 is 121200100021101.

It is not a de Polignac number, because 101120001002121 - 2³ = 101120001002113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101120001002097 and 101120001002106.

It is not an unprimeable number, because it can be changed into a prime (101120001002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341365125 + ... + 341661218.

It is an arithmetic number, because the mean of its divisors is an integer number (8575395748920).

Almost surely, 2^{101120001002121} is an apocalyptic number.

It is an amenable number.

101120001002121 is a deficient number, since it is larger than the sum of its proper divisors (36086330980599).

101120001002121 is an equidigital number, since it uses as much as digits as its factorization.

101120001002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683027216.

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

Adding to 101120001002121 its reverse (121200100021101), we get a palindrome (222320101023222).

The spelling of 101120001002121 in words is "one hundred one trillion, one hundred twenty billion, one million, two thousand, one hundred twenty-one".