100100100000121 has 32 divisors (see below), whose sum is σ = 109629415703808. Its totient is φ = 90840721259520.

The previous prime is 100100100000097. The next prime is 100100100000137. The reversal of 100100100000121 is 121000001001001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100100000121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100100000221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395947326 + ... + 396200056.

It is an arithmetic number, because the mean of its divisors is an integer number (3425919240744).

Almost surely, 2^{100100100000121} is an apocalyptic number.

It is an amenable number.

100100100000121 is a deficient number, since it is larger than the sum of its proper divisors (9529315703687).

100100100000121 is a wasteful number, since it uses less digits than its factorization.

100100100000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254161.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100100000121 its reverse (121000001001001), we get a palindrome (221100101001122).

The spelling of 100100100000121 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred twenty-one", and thus it is an aban number.