101111100102011 has 2 divisors, whose sum is σ = 101111100102012. Its totient is φ = 101111100102010.

The previous prime is 101111100101983. The next prime is 101111100102029. The reversal of 101111100102011 is 110201001111101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111100102011 - 2²⁶ = 101111032993147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111100101983 and 101111100102001.

It is not a weakly prime, because it can be changed into another prime (101111100102041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555550051005 + 50555550051006.

It is an arithmetic number, because the mean of its divisors is an integer number (50555550051006).

Almost surely, 2^{101111100102011} is an apocalyptic number.

101111100102011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111100102011 is an equidigital number, since it uses as much as digits as its factorization.

101111100102011 is an evil number, because the sum of its binary digits is even.

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

Adding to 101111100102011 its reverse (110201001111101), we get a palindrome (211312101213112).

The spelling of 101111100102011 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred two thousand, eleven".