101333775255040 has 320 divisors, whose sum is σ = 270564744890880. Its totient is φ = 36221964779520.

The previous prime is 101333775255007. The next prime is 101333775255077. The reversal of 101333775255040 is 40552577333101.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70794766 + ... + 72211954.

It is an arithmetic number, because the mean of its divisors is an integer number (845514827784).

Almost surely, 2^{101333775255040} is an apocalyptic number.

101333775255040 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 101333775255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135282372445440).

101333775255040 is an abundant number, since it is smaller than the sum of its proper divisors (169230969635840).

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

101333775255040 is a wasteful number, since it uses less digits than its factorization.

101333775255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417313 (or 1417297 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 46.

The spelling of 101333775255040 in words is "one hundred one trillion, three hundred thirty-three billion, seven hundred seventy-five million, two hundred fifty-five thousand, forty".