100001120121001 has 16 divisors (see below), whose sum is σ = 111000446668800. Its totient is φ = 89321493302800.

The previous prime is 100001120120969. The next prime is 100001120121031. The reversal of 100001120121001 is 100121021100001.

It is not a de Polignac number, because 100001120121001 - 2⁵ = 100001120120969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001120121031) 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, 39962881 + ... + 42391438.

It is an arithmetic number, because the mean of its divisors is an integer number (6937527916800).

Almost surely, 2^{100001120121001} is an apocalyptic number.

100001120121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001120121001 is a deficient number, since it is larger than the sum of its proper divisors (10999326547799).

100001120121001 is a wasteful number, since it uses less digits than its factorization.

100001120121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82356260.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100001120121001 its reverse (100121021100001), we get a palindrome (200122141221002).

The spelling of 100001120121001 in words is "one hundred trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, one".