100120121100101 has 8 divisors (see below), whose sum is σ = 103573180058880. Its totient is φ = 96667104874032.

The previous prime is 100120121100059. The next prime is 100120121100107. The reversal of 100120121100101 is 101001121021001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100120121100101 - 2⁴⁶ = 29751376922437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120121100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5879885 + ... + 15323618.

It is an arithmetic number, because the mean of its divisors is an integer number (12946647507360).

Almost surely, 2^{100120121100101} is an apocalyptic number.

It is an amenable number.

100120121100101 is a deficient number, since it is larger than the sum of its proper divisors (3453058958779).

100120121100101 is a wasteful number, since it uses less digits than its factorization.

100120121100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21366355.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100120121100101 its reverse (101001121021001), we get a palindrome (201121242121102).

The spelling of 100120121100101 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-one million, one hundred thousand, one hundred one".