10111111010101 has 16 divisors (see below), whose sum is σ = 10498875158016. Its totient is φ = 9730789200000.

The previous prime is 10111111010093. The next prime is 10111111010111. The reversal of 10111111010101 is 10101011111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10111111010101 - 2³ = 10111111010093 is a prime.

It is a super-3 number, since 3×10111111010101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111111010111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3382785 + ... + 5627206.

It is an arithmetic number, because the mean of its divisors is an integer number (656179697376).

Almost surely, 2^{10111111010101} is an apocalyptic number.

It is an amenable number.

10111111010101 is a deficient number, since it is larger than the sum of its proper divisors (387764147915).

10111111010101 is a wasteful number, since it uses less digits than its factorization.

10111111010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010404.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10111111010101 its reverse (10101011111101), we get a palindrome (20212122121202).

The spelling of 10111111010101 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred one".