101012111111 has 2 divisors, whose sum is σ = 101012111112. Its totient is φ = 101012111110.

The previous prime is 101012111051. The next prime is 101012111129. The reversal of 101012111111 is 111111210101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101012111111 - 2²⁶ = 100945002247 is a prime.

It is a super-2 number, since 2×101012111111² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

101012111111 is a modest number, since divided by 111111 gives 101012 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101012111092 and 101012111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012111131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506055555 + 50506055556.

It is an arithmetic number, because the mean of its divisors is an integer number (50506055556).

Almost surely, 2^101012111111 is an apocalyptic number.

101012111111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012111111 is an equidigital number, since it uses as much as digits as its factorization.

101012111111 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 101012111111 its reverse (111111210101), we get a palindrome (212123321212).

It can be divided in two parts, 10101 and 2111111, that added together give a palindrome (2121212).

The spelling of 101012111111 in words is "one hundred one billion, twelve million, one hundred eleven thousand, one hundred eleven".