21101002010113 has 2 divisors, whose sum is σ = 21101002010114. Its totient is φ = 21101002010112.

The previous prime is 21101002010089. The next prime is 21101002010117. The reversal of 21101002010113 is 31101020010112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16436926845504 + 4664075164609 = 4054248^2 + 2159647^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101002010113 - 2¹³ = 21101002001921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21101002010093 and 21101002010102.

It is not a weakly prime, because it can be changed into another prime (21101002010117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550501005056 + 10550501005057.

It is an arithmetic number, because the mean of its divisors is an integer number (10550501005057).

Almost surely, 2^{21101002010113} is an apocalyptic number.

It is an amenable number.

21101002010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101002010113 is an equidigital number, since it uses as much as digits as its factorization.

21101002010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 21101002010113 its reverse (31101020010112), we get a palindrome (52202022020225).

The spelling of 21101002010113 in words is "twenty-one trillion, one hundred one billion, two million, ten thousand, one hundred thirteen".