101363198054400 has 936 divisors, whose sum is σ = 375358129153280. Its totient is φ = 26117406720000.

The previous prime is 101363198054333. The next prime is 101363198054423. The reversal of 101363198054400 is 4450891363101.

101363198054400 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 3 + 198 + 0 + 54 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21112932000 + ... + 21112936800.

Almost surely, 2^{101363198054400} is an apocalyptic number.

101363198054400 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 101363198054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187679064576640).

101363198054400 is an abundant number, since it is smaller than the sum of its proper divisors (273994931098880).

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

101363198054400 is a wasteful number, since it uses less digits than its factorization.

101363198054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 101363198054400 in words is "one hundred one trillion, three hundred sixty-three billion, one hundred ninety-eight million, fifty-four thousand, four hundred".