2111265210101 has 2 divisors, whose sum is σ = 2111265210102. Its totient is φ = 2111265210100.

The previous prime is 2111265210071. The next prime is 2111265210121. The reversal of 2111265210101 is 1010125621112.

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., 1650222852100 + 461042358001 = 1284610^2 + 679001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111265210101 - 2¹⁴ = 2111265193717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111265210121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055632605050 + 1055632605051.

It is an arithmetic number, because the mean of its divisors is an integer number (1055632605051).

Almost surely, 2^{2111265210101} is an apocalyptic number.

It is an amenable number.

2111265210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111265210101 is an equidigital number, since it uses as much as digits as its factorization.

2111265210101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 23.

The spelling of 2111265210101 in words is "two trillion, one hundred eleven billion, two hundred sixty-five million, two hundred ten thousand, one hundred one".