101110010945521 has 2 divisors, whose sum is σ = 101110010945522. Its totient is φ = 101110010945520.

The previous prime is 101110010945519. The next prime is 101110010945551. The reversal of 101110010945521 is 125549010011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89736497514225 + 11373513431296 = 9472935^2 + 3372464^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110010945521 - 2¹ = 101110010945519 is a prime.

It is a super-2 number, since 2×101110010945521² (a number of 29 digits) contains 22 as substring.

Together with 101110010945519, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101110010945551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005472760 + 50555005472761.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005472761).

Almost surely, 2^{101110010945521} is an apocalyptic number.

It is an amenable number.

101110010945521 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110010945521 is an equidigital number, since it uses as much as digits as its factorization.

101110010945521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 31.

Adding to 101110010945521 its reverse (125549010011101), we get a palindrome (226659020956622).

The spelling of 101110010945521 in words is "one hundred one trillion, one hundred ten billion, ten million, nine hundred forty-five thousand, five hundred twenty-one".