10101112122011 has 2 divisors, whose sum is σ = 10101112122012. Its totient is φ = 10101112122010.

The previous prime is 10101112121911. The next prime is 10101112122029. The reversal of 10101112122011 is 11022121110101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101112122011 - 2¹⁴ = 10101112105627 is a prime.

It is a super-2 number, since 2×10101112122011² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101112122041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050556061005 + 5050556061006.

It is an arithmetic number, because the mean of its divisors is an integer number (5050556061006).

Almost surely, 2^{10101112122011} is an apocalyptic number.

10101112122011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101112122011 is an equidigital number, since it uses as much as digits as its factorization.

10101112122011 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 10101112122011 its reverse (11022121110101), we get a palindrome (21123233232112).

The spelling of 10101112122011 in words is "ten trillion, one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, eleven".