1011101101007 has 2 divisors, whose sum is σ = 1011101101008. Its totient is φ = 1011101101006.

The previous prime is 1011101100979. The next prime is 1011101101057. The reversal of 1011101101007 is 7001011011101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1011101101007 - 2²⁴ = 1011084323791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011101100982 and 1011101101000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011101101057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550550503 + 505550550504.

It is an arithmetic number, because the mean of its divisors is an integer number (505550550504).

Almost surely, 2^{1011101101007} is an apocalyptic number.

1011101101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101101007 is an equidigital number, since it uses as much as digits as its factorization.

1011101101007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 1011101101007 its reverse (7001011011101), we get a palindrome (8012112112108).

The spelling of 1011101101007 in words is "one trillion, eleven billion, one hundred one million, one hundred one thousand, seven".