100979121 has 16 divisors (see below), whose sum is σ = 139466240. Its totient is φ = 64920960.

The previous prime is 100979107. The next prime is 100979147. The reversal of 100979121 is 121979001.

It is not a de Polignac number, because 100979121 - 2¹⁷ = 100848049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100979101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27375 + ... + 30843.

It is an arithmetic number, because the mean of its divisors is an integer number (8716640).

Almost surely, 2^100979121 is an apocalyptic number.

It is an amenable number.

100979121 is a deficient number, since it is larger than the sum of its proper divisors (38487119).

100979121 is a wasteful number, since it uses less digits than its factorization.

100979121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816.

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 100979121 is about 10048.8367983563. The cubic root of 100979121 is about 465.6688582383.

The spelling of 100979121 in words is "one hundred million, nine hundred seventy-nine thousand, one hundred twenty-one".