100121121121001 has 16 divisors (see below), whose sum is σ = 107614174459200. Its totient is φ = 92869388275968.

The previous prime is 100121121120991. The next prime is 100121121121123.

100121121121001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100121121121001 - 2¹⁴ = 100121121104617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121121121501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263260271 + ... + 263640308.

It is an arithmetic number, because the mean of its divisors is an integer number (6725885903700).

Almost surely, 2^{100121121121001} is an apocalyptic number.

It is an amenable number.

100121121121001 is a deficient number, since it is larger than the sum of its proper divisors (7493053338199).

100121121121001 is a wasteful number, since it uses less digits than its factorization.

100121121121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526900808.

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

The spelling of 100121121121001 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one".