101111011801 has 2 divisors, whose sum is σ = 101111011802. Its totient is φ = 101111011800.

The previous prime is 101111011783. The next prime is 101111011811. The reversal of 101111011801 is 108110111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52234645401 + 48876366400 = 228549^2 + 221080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111011801 is a prime.

It is a super-2 number, since 2×101111011801² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101111011811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505900 + 50555505901.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505901).

Almost surely, 2^101111011801 is an apocalyptic number.

It is an amenable number.

101111011801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111011801 is an equidigital number, since it uses as much as digits as its factorization.

101111011801 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 16.

Adding to 101111011801 its reverse (108110111101), we get a palindrome (209221122902).

The spelling of 101111011801 in words is "one hundred one billion, one hundred eleven million, eleven thousand, eight hundred one".