101673275000 has 576 divisors, whose sum is σ = 289879884000. Its totient is φ = 33264000000.

The previous prime is 101673274993. The next prime is 101673275051. The reversal of 101673275000 is 572376101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1666774970 + ... + 1666775030.

Almost surely, 2^101673275000 is an apocalyptic number.

101673275000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101673275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144939942000).

101673275000 is an abundant number, since it is smaller than the sum of its proper divisors (188206609000).

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

101673275000 is a wasteful number, since it uses less digits than its factorization.

101673275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

It can be divided in two parts, 101673 and 275000, that added together give a palindrome (376673).

The spelling of 101673275000 in words is "one hundred one billion, six hundred seventy-three million, two hundred seventy-five thousand".