2002220102101 has 2 divisors, whose sum is σ = 2002220102102. Its totient is φ = 2002220102100.

The previous prime is 2002220102053. The next prime is 2002220102147. The reversal of 2002220102101 is 1012010222002.

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., 1613405499601 + 388814602500 = 1270199^2 + 623550^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002220102101 - 2⁹ = 2002220101589 is a prime.

It is a super-2 number, since 2×2002220102101² (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 (2002220102191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001110051050 + 1001110051051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110051051).

Almost surely, 2^{2002220102101} is an apocalyptic number.

It is an amenable number.

2002220102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002220102101 is an equidigital number, since it uses as much as digits as its factorization.

2002220102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002220102101 its reverse (1012010222002), we get a palindrome (3014230324103).

The spelling of 2002220102101 in words is "two trillion, two billion, two hundred twenty million, one hundred two thousand, one hundred one".