2210021102101 has 2 divisors, whose sum is σ = 2210021102102. Its totient is φ = 2210021102100.

The previous prime is 2210021102089. The next prime is 2210021102111. The reversal of 2210021102101 is 1012011200122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2045469179601 + 164551922500 = 1430199^2 + 405650^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210021102101 - 2¹³ = 2210021093909 is a prime.

It is a super-2 number, since 2×2210021102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210021102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105010551050 + 1105010551051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105010551051).

Almost surely, 2^{2210021102101} is an apocalyptic number.

It is an amenable number.

2210021102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210021102101 is an equidigital number, since it uses as much as digits as its factorization.

2210021102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2210021102101 its reverse (1012011200122), we get a palindrome (3222032302223).

The spelling of 2210021102101 in words is "two trillion, two hundred ten billion, twenty-one million, one hundred two thousand, one hundred one".