221011010010101 has 16 divisors (see below), whose sum is σ = 237852593678448. Its totient is φ = 204596331187200.

The previous prime is 221011010010073. The next prime is 221011010010103. The reversal of 221011010010101 is 101010010110122.

221011010010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1062237361201 + 219948772648900 = 1030649^2 + 14830670^2 .

It is a cyclic number.

It is not a de Polignac number, because 221011010010101 - 2¹⁰ = 221011010009077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011010010103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51294311 + ... + 55435803.

It is an arithmetic number, because the mean of its divisors is an integer number (14865787104903).

Almost surely, 2^{221011010010101} is an apocalyptic number.

It is an amenable number.

221011010010101 is a deficient number, since it is larger than the sum of its proper divisors (16841583668347).

221011010010101 is a wasteful number, since it uses less digits than its factorization.

221011010010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193032.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 221011010010101 its reverse (101010010110122), we get a palindrome (322021020120223).

The spelling of 221011010010101 in words is "two hundred twenty-one trillion, eleven billion, ten million, ten thousand, one hundred one".