2002111022101 has 2 divisors, whose sum is σ = 2002111022102. Its totient is φ = 2002111022100.

The previous prime is 2002111022071. The next prime is 2002111022111. The reversal of 2002111022101 is 1012201112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1740483887076 + 261627135025 = 1319274^2 + 511495^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002111022101 - 2⁷ = 2002111021973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002111022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055511050 + 1001055511051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055511051).

Almost surely, 2^{2002111022101} is an apocalyptic number.

It is an amenable number.

2002111022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002111022101 is an equidigital number, since it uses as much as digits as its factorization.

2002111022101 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 2002111022101 its reverse (1012201112002), we get a palindrome (3014312134103).

The spelling of 2002111022101 in words is "two trillion, two billion, one hundred eleven million, twenty-two thousand, one hundred one".