101011106053 has 16 divisors (see below), whose sum is σ = 118688169600. Its totient is φ = 84751865280.

The previous prime is 101011106051. The next prime is 101011106089. The reversal of 101011106053 is 350601110101.

It is a cyclic number.

It is not a de Polignac number, because 101011106053 - 2¹ = 101011106051 is a prime.

It is a super-3 number, since 3×101011106053³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011106053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011106051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974403 + ... + 1073071.

It is an arithmetic number, because the mean of its divisors is an integer number (7418010600).

Almost surely, 2^101011106053 is an apocalyptic number.

101011106053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101011106053 is a deficient number, since it is larger than the sum of its proper divisors (17677063547).

101011106053 is a wasteful number, since it uses less digits than its factorization.

101011106053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105852.

The product of its (nonzero) digits is 90, while the sum is 19.

Adding to 101011106053 its reverse (350601110101), we get a palindrome (451612216154).

The spelling of 101011106053 in words is "one hundred one billion, eleven million, one hundred six thousand, fifty-three".