101434250322400 has 144 divisors (see below), whose sum is σ = 263119105955664. Its totient is φ = 38052074004480.

The previous prime is 101434250322289. The next prime is 101434250322479. The reversal of 101434250322400 is 4223052434101.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9328587 + ... + 17026186.

It is an arithmetic number, because the mean of its divisors is an integer number (1827216013581).

Almost surely, 2^{101434250322400} is an apocalyptic number.

101434250322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101434250322400 is an abundant number, since it is smaller than the sum of its proper divisors (161684855633264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101434250322400 is a wasteful number, since it uses less digits than its factorization.

101434250322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26355093 (or 26355080 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 101434250322400 in words is "one hundred one trillion, four hundred thirty-four billion, two hundred fifty million, three hundred twenty-two thousand, four hundred".