100210212111101 has 2 divisors, whose sum is σ = 100210212111102. Its totient is φ = 100210212111100.

The previous prime is 100210212111067. The next prime is 100210212111133. The reversal of 100210212111101 is 101111212012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92975376355876 + 7234835755225 = 9642374^2 + 2689765^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210212111101 - 2¹⁴ = 100210212094717 is a prime.

It is a super-2 number, since 2×100210212111101² (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 (100210215111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105106055550 + 50105106055551.

It is an arithmetic number, because the mean of its divisors is an integer number (50105106055551).

Almost surely, 2^{100210212111101} is an apocalyptic number.

It is an amenable number.

100210212111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210212111101 is an equidigital number, since it uses as much as digits as its factorization.

100210212111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100210212111101 its reverse (101111212012001), we get a palindrome (201321424123102).

The spelling of 100210212111101 in words is "one hundred trillion, two hundred ten billion, two hundred twelve million, one hundred eleven thousand, one hundred one".