10000101011341 has 24 divisors (see below), whose sum is σ = 11683388924640. Its totient is φ = 8534289832992.

The previous prime is 10000101011311. The next prime is 10000101011443. The reversal of 10000101011341 is 14311010100001.

It is a happy number.

It is not a de Polignac number, because 10000101011341 - 2⁵ = 10000101011309 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 (10000101011311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11182495 + ... + 12043603.

It is an arithmetic number, because the mean of its divisors is an integer number (486807871860).

Almost surely, 2^{10000101011341} is an apocalyptic number.

It is an amenable number.

10000101011341 is a deficient number, since it is larger than the sum of its proper divisors (1683287913299).

10000101011341 is an equidigital number, since it uses as much as digits as its factorization.

10000101011341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862153 (or 862146 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10000101011341 its reverse (14311010100001), we get a palindrome (24311111111342).

The spelling of 10000101011341 in words is "ten trillion, one hundred one million, eleven thousand, three hundred forty-one".