100210011020101 has 2 divisors, whose sum is σ = 100210011020102. Its totient is φ = 100210011020100.

The previous prime is 100210011020059. The next prime is 100210011020111. The reversal of 100210011020101 is 101020110012001.

It is an a-pointer prime, because the next prime (100210011020111) can be obtained adding 100210011020101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57772616688900 + 42437394331201 = 7600830^2 + 6514399^2 .

It is an emirp because it is prime and its reverse (101020110012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100210011020101 - 2²⁵ = 100209977465669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210011020111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105005510050 + 50105005510051.

It is an arithmetic number, because the mean of its divisors is an integer number (50105005510051).

Almost surely, 2^{100210011020101} is an apocalyptic number.

It is an amenable number.

100210011020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210011020101 is an equidigital number, since it uses as much as digits as its factorization.

100210011020101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100210011020101 its reverse (101020110012001), we get a palindrome (201230121032102).

The spelling of 100210011020101 in words is "one hundred trillion, two hundred ten billion, eleven million, twenty thousand, one hundred one".