100001021121 has 32 divisors (see below), whose sum is σ = 153248563200. Its totient is φ = 64381839120.

The previous prime is 100001021101. The next prime is 100001021129. The reversal of 100001021121 is 121120100001.

It is a happy number.

It is not a de Polignac number, because 100001021121 - 2⁵ = 100001021089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100001021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276210 + ... + 525636.

It is an arithmetic number, because the mean of its divisors is an integer number (4789017600).

Almost surely, 2^100001021121 is an apocalyptic number.

It is an amenable number.

100001021121 is a deficient number, since it is larger than the sum of its proper divisors (53247542079).

100001021121 is a wasteful number, since it uses less digits than its factorization.

100001021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249946 (or 249940 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001021121 its reverse (121120100001), we get a palindrome (221121121122).

The spelling of 100001021121 in words is "one hundred billion, one million, twenty-one thousand, one hundred twenty-one".