100209121001 has 4 divisors (see below), whose sum is σ = 109319041104. Its totient is φ = 91099200900.

The previous prime is 100209120989. The next prime is 100209121027. The reversal of 100209121001 is 100121902001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100121902001 = 11 ⋅9101991091.

It is a cyclic number.

It is not a de Polignac number, because 100209121001 - 2¹⁰ = 100209119977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100209121031) 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 3 ways as a sum of consecutive naturals, for example, 4554960035 + ... + 4554960056.

It is an arithmetic number, because the mean of its divisors is an integer number (27329760276).

Almost surely, 2^100209121001 is an apocalyptic number.

100209121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100209121001 is a deficient number, since it is larger than the sum of its proper divisors (9109920103).

100209121001 is an equidigital number, since it uses as much as digits as its factorization.

100209121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109920102.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 100209121001 in words is "one hundred billion, two hundred nine million, one hundred twenty-one thousand, one".