101903748201600 has 384 divisors, whose sum is σ = 346027997969280. Its totient is φ = 26339335372800.

The previous prime is 101903748201589. The next prime is 101903748201767. The reversal of 101903748201600 is 6102847309101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92872180 + ... + 93963020.

It is an arithmetic number, because the mean of its divisors is an integer number (901114578045).

Almost surely, 2^{101903748201600} is an apocalyptic number.

101903748201600 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 101903748201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173013998984640).

101903748201600 is an abundant number, since it is smaller than the sum of its proper divisors (244124249767680).

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

101903748201600 is a wasteful number, since it uses less digits than its factorization.

101903748201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091168 (or 1091151 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 101903748201600 in words is "one hundred one trillion, nine hundred three billion, seven hundred forty-eight million, two hundred one thousand, six hundred".