100001022000121 has 16 divisors (see below), whose sum is σ = 109156548207168. Its totient is φ = 90856252800000.

The previous prime is 100001022000091. The next prime is 100001022000149. The reversal of 100001022000121 is 121000220100001.

It is a cyclic number.

It is not a de Polignac number, because 100001022000121 - 2²¹ = 100001019902969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001022000098 and 100001022000107.

It is not an unprimeable number, because it can be changed into a prime (100001022000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111065121 + ... + 1111155121.

It is an arithmetic number, because the mean of its divisors is an integer number (6822284262948).

Almost surely, 2^{100001022000121} is an apocalyptic number.

100001022000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001022000121 is a deficient number, since it is larger than the sum of its proper divisors (9155526207047).

100001022000121 is a wasteful number, since it uses less digits than its factorization.

100001022000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148632.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100001022000121 its reverse (121000220100001), we get a palindrome (221001242100122).

The spelling of 100001022000121 in words is "one hundred trillion, one billion, twenty-two million, one hundred twenty-one", and thus it is an aban number.