2021111112101 has 2 divisors, whose sum is σ = 2021111112102. Its totient is φ = 2021111112100.

The previous prime is 2021111112079. The next prime is 2021111112109. The reversal of 2021111112101 is 1012111111202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1336338312001 + 684772800100 = 1156001^2 + 827510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2021111112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2021111112109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010555556050 + 1010555556051.

It is an arithmetic number, because the mean of its divisors is an integer number (1010555556051).

Almost surely, 2^{2021111112101} is an apocalyptic number.

It is an amenable number.

2021111112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021111112101 is an equidigital number, since it uses as much as digits as its factorization.

2021111112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2021111112101 its reverse (1012111111202), we get a palindrome (3033222223303).

The spelling of 2021111112101 in words is "two trillion, twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred one".