100121211021121 has 8 divisors (see below), whose sum is σ = 101120047657704. Its totient is φ = 99122522179200.

The previous prime is 100121211021089. The next prime is 100121211021149. The reversal of 100121211021121 is 121120112121001.

It can be written as a sum of positive squares in 4 ways, for example, as 57859770246721 + 42261440774400 = 7606561^2 + 6500880^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121211021121 - 2⁵ = 100121211021089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121211021095 and 100121211021104.

It is not an unprimeable number, because it can be changed into a prime (100121211021191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35586790 + ... + 38297023.

It is an arithmetic number, because the mean of its divisors is an integer number (12640005957213).

Almost surely, 2^{100121211021121} is an apocalyptic number.

It is an amenable number.

100121211021121 is a deficient number, since it is larger than the sum of its proper divisors (998836636583).

100121211021121 is a wasteful number, since it uses less digits than its factorization.

100121211021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73897331.

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

Adding to 100121211021121 its reverse (121120112121001), we get a palindrome (221241323142122).

The spelling of 100121211021121 in words is "one hundred trillion, one hundred twenty-one billion, two hundred eleven million, twenty-one thousand, one hundred twenty-one".