101235240135 has 24 divisors (see below), whose sum is σ = 175496709024. Its totient is φ = 53985268800.

The previous prime is 101235240109. The next prime is 101235240143. The reversal of 101235240135 is 531042532101.

101235240135 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 524 + 0 + 135 = 666.

It is not a de Polignac number, because 101235240135 - 2²² = 101231045831 is a prime.

It is a super-2 number, since 2×101235240135² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101235240099 and 101235240108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225694 + ... + 503396.

It is an arithmetic number, because the mean of its divisors is an integer number (7312362876).

Almost surely, 2^101235240135 is an apocalyptic number.

101235240135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101235240135 is a deficient number, since it is larger than the sum of its proper divisors (74261468889).

101235240135 is a wasteful number, since it uses less digits than its factorization.

101235240135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285815 (or 285812 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 101235240135 its reverse (531042532101), we get a palindrome (632277772236).

The spelling of 101235240135 in words is "one hundred one billion, two hundred thirty-five million, two hundred forty thousand, one hundred thirty-five".