100121001000001 has 8 divisors (see below), whose sum is σ = 100406538955944. Its totient is φ = 99835473830400.

The previous prime is 100121000999959. The next prime is 100121001000019. The reversal of 100121001000001 is 100000100121001.

It can be written as a sum of positive squares in 4 ways, for example, as 42104201000625 + 58016799999376 = 6488775^2 + 7616876^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100121001000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121001000091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16080451 + ... + 21420151.

It is an arithmetic number, because the mean of its divisors is an integer number (12550817369493).

Almost surely, 2^{100121001000001} is an apocalyptic number.

It is an amenable number.

100121001000001 is a deficient number, since it is larger than the sum of its proper divisors (285537955943).

100121001000001 is an equidigital number, since it uses as much as digits as its factorization.

100121001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393171.

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

Adding to 100121001000001 its reverse (100000100121001), we get a palindrome (200121101121002).

The spelling of 100121001000001 in words is "one hundred trillion, one hundred twenty-one billion, one million, one", and thus it is an aban number.