100121201122201 has 16 divisors (see below), whose sum is σ = 121334025741696. Its totient is φ = 80650738711296.

The previous prime is 100121201122177. The next prime is 100121201122253. The reversal of 100121201122201 is 102221102121001.

It is a cyclic number.

It is not a de Polignac number, because 100121201122201 - 2³⁵ = 100086841383833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121201182201) 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, 621303951 + ... + 621465076.

It is an arithmetic number, because the mean of its divisors is an integer number (7583376608856).

Almost surely, 2^{100121201122201} is an apocalyptic number.

It is an amenable number.

100121201122201 is a deficient number, since it is larger than the sum of its proper divisors (21212824619495).

100121201122201 is a wasteful number, since it uses less digits than its factorization.

100121201122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242769728.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100121201122201 its reverse (102221102121001), we get a palindrome (202342303243202).

The spelling of 100121201122201 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, two hundred one".