101493455714800 has 120 divisors (see below), whose sum is σ = 249518215506560. Its totient is φ = 39651741561600.

The previous prime is 101493455714603. The next prime is 101493455714869. The reversal of 101493455714800 is 8417554394101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519531541 + ... + 519726859.

Almost surely, 2^{101493455714800} is an apocalyptic number.

101493455714800 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 101493455714800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124759107753280).

101493455714800 is an abundant number, since it is smaller than the sum of its proper divisors (148024759791760).

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

101493455714800 is a wasteful number, since it uses less digits than its factorization.

101493455714800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225591 (or 225580 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 101493455714800 in words is "one hundred one trillion, four hundred ninety-three billion, four hundred fifty-five million, seven hundred fourteen thousand, eight hundred".