100100121022001 has 16 divisors (see below), whose sum is σ = 103290018255360. Its totient is φ = 96958662964800.

The previous prime is 100100121021973. The next prime is 100100121022051. The reversal of 100100121022001 is 100220121001001.

It is a cyclic number.

It is not a de Polignac number, because 100100121022001 - 2⁶ = 100100121021937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100121022051) 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, 41324651 + ... + 43679823.

It is an arithmetic number, because the mean of its divisors is an integer number (6455626140960).

Almost surely, 2^{100100121022001} is an apocalyptic number.

It is an amenable number.

100100121022001 is a deficient number, since it is larger than the sum of its proper divisors (3189897233359).

100100121022001 is a wasteful number, since it uses less digits than its factorization.

100100121022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365456.

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

Adding to 100100121022001 its reverse (100220121001001), we get a palindrome (200320242023002).

The spelling of 100100121022001 in words is "one hundred trillion, one hundred billion, one hundred twenty-one million, twenty-two thousand, one".