10141533514101 has 32 divisors (see below), whose sum is σ = 15096478763520. Its totient is φ = 6002608248000.

The previous prime is 10141533514093. The next prime is 10141533514103.

10141533514101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10141533514101 - 2³ = 10141533514093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141533514103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9763626 + ... + 10752276.

It is an arithmetic number, because the mean of its divisors is an integer number (471764961360).

Almost surely, 2^{10141533514101} is an apocalyptic number.

10141533514101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10141533514101 is a deficient number, since it is larger than the sum of its proper divisors (4954945249419).

10141533514101 is a wasteful number, since it uses less digits than its factorization.

10141533514101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995937.

The product of its (nonzero) digits is 3600, while the sum is 30.

It can be divided in two parts, 1014153 and 3514101, that added together give a palindrome (4528254).

The spelling of 10141533514101 in words is "ten trillion, one hundred forty-one billion, five hundred thirty-three million, five hundred fourteen thousand, one hundred one".