100001100101121 has 48 divisors (see below), whose sum is σ = 148934658337920. Its totient is φ = 64627456953600.

The previous prime is 100001100101087. The next prime is 100001100101183. The reversal of 100001100101121 is 121101001100001.

It is not a de Polignac number, because 100001100101121 - 2¹⁴ = 100001100084737 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100001100101191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207179755 + ... + 207661871.

It is an arithmetic number, because the mean of its divisors is an integer number (3102805382040).

Almost surely, 2^{100001100101121} is an apocalyptic number.

It is an amenable number.

100001100101121 is a deficient number, since it is larger than the sum of its proper divisors (48933558236799).

100001100101121 is a wasteful number, since it uses less digits than its factorization.

100001100101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487606 (or 487603 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100001100101121 its reverse (121101001100001), we get a palindrome (221102101201122).

The spelling of 100001100101121 in words is "one hundred trillion, one billion, one hundred million, one hundred one thousand, one hundred twenty-one".