21010012100101 has 2 divisors, whose sum is σ = 21010012100102. Its totient is φ = 21010012100100.

The previous prime is 21010012100047. The next prime is 21010012100107. The reversal of 21010012100101 is 10100121001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18579125743201 + 2430886356900 = 4310351^2 + 1559130^2 .

It is a cyclic number.

It is not a de Polignac number, because 21010012100101 - 2⁹ = 21010012099589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21010012100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505006050050 + 10505006050051.

It is an arithmetic number, because the mean of its divisors is an integer number (10505006050051).

Almost surely, 2^{21010012100101} is an apocalyptic number.

It is an amenable number.

21010012100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21010012100101 is an equidigital number, since it uses as much as digits as its factorization.

21010012100101 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 21010012100101 its reverse (10100121001012), we get a palindrome (31110133101113).

It can be divided in two parts, 2 and 1010012100101, that multiplied together give a palindrome (2020024200202).

The spelling of 21010012100101 in words is "twenty-one trillion, ten billion, twelve million, one hundred thousand, one hundred one".