101145337426343 has 32 divisors (see below), whose sum is σ = 119598242964480. Its totient is φ = 83736642666240.

The previous prime is 101145337426327. The next prime is 101145337426379. The reversal of 101145337426343 is 343624733541101.

It is a cyclic number.

It is not a de Polignac number, because 101145337426343 - 2⁴ = 101145337426327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101145337426543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46316693 + ... + 48451281.

It is an arithmetic number, because the mean of its divisors is an integer number (3737445092640).

Almost surely, 2^{101145337426343} is an apocalyptic number.

101145337426343 is a deficient number, since it is larger than the sum of its proper divisors (18452905538137).

101145337426343 is a wasteful number, since it uses less digits than its factorization.

101145337426343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136287.

The product of its (nonzero) digits is 2177280, while the sum is 47.

The spelling of 101145337426343 in words is "one hundred one trillion, one hundred forty-five billion, three hundred thirty-seven million, four hundred twenty-six thousand, three hundred forty-three".