100002121200121 has 6 divisors (see below), whose sum is σ = 116328998130810. Its totient is φ = 85716103885776.

The previous prime is 100002121200061. The next prime is 100002121200143. The reversal of 100002121200121 is 121002121200001.

It can be written as a sum of positive squares in only one way, i.e., 89220492835600 + 10781628364521 = 9445660^2 + 3283539^2 .

It is not a de Polignac number, because 100002121200121 - 2⁴¹ = 97803097944569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002121200161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1020429808116 + ... + 1020429808213.

It is an arithmetic number, because the mean of its divisors is an integer number (19388166355135).

Almost surely, 2^{100002121200121} is an apocalyptic number.

It is an amenable number.

100002121200121 is a deficient number, since it is larger than the sum of its proper divisors (16326876930689).

100002121200121 is an equidigital number, since it uses as much as digits as its factorization.

100002121200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040859616343 (or 2040859616336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100002121200121 its reverse (121002121200001), we get a palindrome (221004242400122).

The spelling of 100002121200121 in words is "one hundred trillion, two billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-one".