2100101012011 has 2 divisors, whose sum is σ = 2100101012012. Its totient is φ = 2100101012010.

The previous prime is 2100101011969. The next prime is 2100101012021. The reversal of 2100101012011 is 1102101010012.

It is an a-pointer prime, because the next prime (2100101012021) can be obtained adding 2100101012011 to its sum of digits (10).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2100101012011 - 2¹⁵ = 2100100979243 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100101012021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050506005 + 1050050506006.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050506006).

Almost surely, 2^{2100101012011} is an apocalyptic number.

2100101012011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100101012011 is an equidigital number, since it uses as much as digits as its factorization.

2100101012011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2100101012011 its reverse (1102101010012), we get a palindrome (3202202022023).

The spelling of 2100101012011 in words is "two trillion, one hundred billion, one hundred one million, twelve thousand, eleven".