100121001 has 16 divisors (see below), whose sum is σ = 143067264. Its totient is φ = 62118144.

The previous prime is 100120987. The next prime is 100121011.

100121001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100121001 - 2¹³ = 100112809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100121011) 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, 17056 + ... + 22161.

It is an arithmetic number, because the mean of its divisors is an integer number (8941704).

Almost surely, 2^100121001 is an apocalyptic number.

It is an amenable number.

100121001 is a deficient number, since it is larger than the sum of its proper divisors (42946263).

100121001 is a wasteful number, since it uses less digits than its factorization.

100121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39280.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100121001 is about 10006.0482209512. The cubic root of 100121001 is about 464.3460201992.

The spelling of 100121001 in words is "one hundred million, one hundred twenty-one thousand, one".