100210212020101 has 2 divisors, whose sum is σ = 100210212020102. Its totient is φ = 100210212020100.

The previous prime is 100210212020059. The next prime is 100210212020117. The reversal of 100210212020101 is 101020212012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96456480143076 + 3753731877025 = 9821226^2 + 1937455^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210212020101 - 2¹³ = 100210212011909 is a prime.

It is a super-2 number, since 2×100210212020101² (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 (100210212020701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105106010050 + 50105106010051.

It is an arithmetic number, because the mean of its divisors is an integer number (50105106010051).

Almost surely, 2^{100210212020101} is an apocalyptic number.

It is an amenable number.

100210212020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210212020101 is an equidigital number, since it uses as much as digits as its factorization.

100210212020101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210212020101 its reverse (101020212012001), we get a palindrome (201230424032102).

The spelling of 100210212020101 in words is "one hundred trillion, two hundred ten billion, two hundred twelve million, twenty thousand, one hundred one".