100212121002263 has 2 divisors, whose sum is σ = 100212121002264. Its totient is φ = 100212121002262.

The previous prime is 100212121002131. The next prime is 100212121002293. The reversal of 100212121002263 is 362200121212001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100212121002263 - 2¹⁸ = 100212120740119 is a prime.

It is a super-2 number, since 2×100212121002263² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212121002293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106060501131 + 50106060501132.

It is an arithmetic number, because the mean of its divisors is an integer number (50106060501132).

Almost surely, 2^{100212121002263} is an apocalyptic number.

100212121002263 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212121002263 is an equidigital number, since it uses as much as digits as its factorization.

100212121002263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 100212121002263 its reverse (362200121212001), we get a palindrome (462412242214264).

The spelling of 100212121002263 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, two thousand, two hundred sixty-three".