100121122102021 has 2 divisors, whose sum is σ = 100121122102022. Its totient is φ = 100121122102020.

The previous prime is 100121122101943. The next prime is 100121122102097. The reversal of 100121122102021 is 120201221121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85632555333796 + 14488566768225 = 9253786^2 + 3806385^2 .

It is an emirp because it is prime and its reverse (120201221121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121122102021 - 2⁴³ = 91325029079813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121122101986 and 100121122102004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121122102321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060561051010 + 50060561051011.

It is an arithmetic number, because the mean of its divisors is an integer number (50060561051011).

Almost surely, 2^{100121122102021} is an apocalyptic number.

It is an amenable number.

100121122102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121122102021 is an equidigital number, since it uses as much as digits as its factorization.

100121122102021 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100121122102021 its reverse (120201221121001), we get a palindrome (220322343223022).

The spelling of 100121122102021 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, twenty-one".