10135211253101 has 8 divisors (see below), whose sum is σ = 11056624221504. Its totient is φ = 9213803305920.

The previous prime is 10135211253077. The next prime is 10135211253103.

It is a happy number.

10135211253101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10135211253101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135211253103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3877760 + ... + 5942006.

It is an arithmetic number, because the mean of its divisors is an integer number (1382078027688).

Almost surely, 2^{10135211253101} is an apocalyptic number.

10135211253101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10135211253101 is a deficient number, since it is larger than the sum of its proper divisors (921412968403).

10135211253101 is a wasteful number, since it uses less digits than its factorization.

10135211253101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510611.

The product of its (nonzero) digits is 900, while the sum is 26.

It can be divided in two parts, 1013521 and 1253101, that added together give a palindrome (2266622).

The spelling of 10135211253101 in words is "ten trillion, one hundred thirty-five billion, two hundred eleven million, two hundred fifty-three thousand, one hundred one".