100002121012001 has 16 divisors (see below), whose sum is σ = 110049432966144. Its totient is φ = 90293481603264.

The previous prime is 100002121011983. The next prime is 100002121012037. The reversal of 100002121012001 is 100210121200001.

It is a cyclic number.

It is not a de Polignac number, because 100002121012001 - 2⁶ = 100002121011937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100002121012051) 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, 46162601 + ... + 48280326.

It is an arithmetic number, because the mean of its divisors is an integer number (6878089560384).

Almost surely, 2^{100002121012001} is an apocalyptic number.

It is an amenable number.

100002121012001 is a deficient number, since it is larger than the sum of its proper divisors (10047311954143).

100002121012001 is a wasteful number, since it uses less digits than its factorization.

100002121012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94444720.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100002121012001 its reverse (100210121200001), we get a palindrome (200212242212002).

The spelling of 100002121012001 in words is "one hundred trillion, two billion, one hundred twenty-one million, twelve thousand, one".