2221101012101 has 2 divisors, whose sum is σ = 2221101012102. Its totient is φ = 2221101012100.

The previous prime is 2221101012089. The next prime is 2221101012103. The reversal of 2221101012101 is 1012101011222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2139707775076 + 81393237025 = 1462774^2 + 285295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221101012101 - 2³⁸ = 1946223105157 is a prime.

Together with 2221101012103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221101012103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110550506050 + 1110550506051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110550506051).

Almost surely, 2^{2221101012101} is an apocalyptic number.

It is an amenable number.

2221101012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221101012101 is an equidigital number, since it uses as much as digits as its factorization.

2221101012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2221101012101 its reverse (1012101011222), we get a palindrome (3233202023323).

The spelling of 2221101012101 in words is "two trillion, two hundred twenty-one billion, one hundred one million, twelve thousand, one hundred one".