100111212120121 has 8 divisors (see below), whose sum is σ = 104463980812800. Its totient is φ = 95758452368832.

The previous prime is 100111212120109. The next prime is 100111212120137. The reversal of 100111212120121 is 121021212111001.

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

It is a cyclic number.

It is not a de Polignac number, because 100111212120121 - 2⁴¹ = 97912188864569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111212120095 and 100111212120104.

It is not an unprimeable number, because it can be changed into a prime (100111212120151) 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, 31435441 + ... + 34473313.

It is an arithmetic number, because the mean of its divisors is an integer number (13057997601600).

Almost surely, 2^{100111212120121} is an apocalyptic number.

It is an amenable number.

100111212120121 is a deficient number, since it is larger than the sum of its proper divisors (4352768692679).

100111212120121 is a wasteful number, since it uses less digits than its factorization.

100111212120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470695.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100111212120121 its reverse (121021212111001), we get a palindrome (221132424231122).

The spelling of 100111212120121 in words is "one hundred trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-one".