105021510101 has 2 divisors, whose sum is σ = 105021510102. Its totient is φ = 105021510100.

The previous prime is 105021510089. The next prime is 105021510103. The reversal of 105021510101 is 101015120501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65025510001 + 39996000100 = 255001^2 + 199990^2 .

It is a cyclic number.

It is not a de Polignac number, because 105021510101 - 2³⁰ = 103947768277 is a prime.

It is a super-2 number, since 2×105021510101² (a number of 23 digits) contains 22 as substring.

Together with 105021510103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105021510101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105021510103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52510755050 + 52510755051.

It is an arithmetic number, because the mean of its divisors is an integer number (52510755051).

Almost surely, 2^105021510101 is an apocalyptic number.

It is an amenable number.

105021510101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105021510101 is an equidigital number, since it uses as much as digits as its factorization.

105021510101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50, while the sum is 17.

Adding to 105021510101 its reverse (101015120501), we get a palindrome (206036630602).

The spelling of 105021510101 in words is "one hundred five billion, twenty-one million, five hundred ten thousand, one hundred one".