101393780903000 has 256 divisors, whose sum is σ = 240660929433600. Its totient is φ = 39980537280000.

The previous prime is 101393780902961. The next prime is 101393780903027. The reversal of 101393780903000 is 309087393101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30997791365 + ... + 30997794635.

It is an arithmetic number, because the mean of its divisors is an integer number (940081755600).

Almost surely, 2^{101393780903000} is an apocalyptic number.

101393780903000 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 101393780903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120330464716800).

101393780903000 is an abundant number, since it is smaller than the sum of its proper divisors (139267148530600).

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

101393780903000 is a wasteful number, since it uses less digits than its factorization.

101393780903000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The spelling of 101393780903000 in words is "one hundred one trillion, three hundred ninety-three billion, seven hundred eighty million, nine hundred three thousand".