1020102111101 has 2 divisors, whose sum is σ = 1020102111102. Its totient is φ = 1020102111100.

The previous prime is 1020102111089. The next prime is 1020102111121. The reversal of 1020102111101 is 1011112010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 723986563876 + 296115547225 = 850874^2 + 544165^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020102111101 - 2⁶ = 1020102111037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020102111121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510051055550 + 510051055551.

It is an arithmetic number, because the mean of its divisors is an integer number (510051055551).

Almost surely, 2^{1020102111101} is an apocalyptic number.

It is an amenable number.

1020102111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020102111101 is an equidigital number, since it uses as much as digits as its factorization.

1020102111101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1020102111101 its reverse (1011112010201), we get a palindrome (2031214121302).

The spelling of 1020102111101 in words is "one trillion, twenty billion, one hundred two million, one hundred eleven thousand, one hundred one".