10100111121011 has 2 divisors, whose sum is σ = 10100111121012. Its totient is φ = 10100111121010.

The previous prime is 10100111120987. The next prime is 10100111121031. The reversal of 10100111121011 is 11012111100101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100111121011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100111120983 and 10100111121001.

It is not a weakly prime, because it can be changed into another prime (10100111121031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055560505 + 5050055560506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055560506).

Almost surely, 2^{10100111121011} is an apocalyptic number.

10100111121011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111121011 is an equidigital number, since it uses as much as digits as its factorization.

10100111121011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10100111121011 its reverse (11012111100101), we get a palindrome (21112222221112).

It can be divided in two parts, 10100 and 111121011, that added together give a palindrome (111131111).

The spelling of 10100111121011 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred twenty-one thousand, eleven".