101142564410 has 8 divisors (see below), whose sum is σ = 182056615956. Its totient is φ = 40457025760.

The previous prime is 101142564409. The next prime is 101142564437. The reversal of 101142564410 is 14465241101.

It can be written as a sum of positive squares in 2 ways, for example, as 83525046049 + 17617518361 = 289007^2 + 132731^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5057128211 + ... + 5057128230.

Almost surely, 2^101142564410 is an apocalyptic number.

101142564410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101142564410 is a deficient number, since it is larger than the sum of its proper divisors (80914051546).

101142564410 is a wasteful number, since it uses less digits than its factorization.

101142564410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114256448.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 101142564410 in words is "one hundred one billion, one hundred forty-two million, five hundred sixty-four thousand, four hundred ten".