10121340135 has 32 divisors (see below), whose sum is σ = 16440396480. Its totient is φ = 5316185088.

The previous prime is 10121340107. The next prime is 10121340169. The reversal of 10121340135 is 53104312101.

It is not a de Polignac number, because 10121340135 - 2⁷ = 10121340007 is a prime.

It is a super-2 number, since 2×10121340135² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 769837 + ... + 782873.

It is an arithmetic number, because the mean of its divisors is an integer number (513762390).

Almost surely, 2^10121340135 is an apocalyptic number.

10121340135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10121340135 is a deficient number, since it is larger than the sum of its proper divisors (6319056345).

10121340135 is a wasteful number, since it uses less digits than its factorization.

10121340135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13827.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10121340135 its reverse (53104312101), we get a palindrome (63225652236).

The spelling of 10121340135 in words is "ten billion, one hundred twenty-one million, three hundred forty thousand, one hundred thirty-five".