101864027200 has 168 divisors, whose sum is σ = 285809097672. Its totient is φ = 35398778880.

The previous prime is 101864027141. The next prime is 101864027233. The reversal of 101864027200 is 2720468101.

It can be written as a sum of positive squares in 12 ways, for example, as 25988019264 + 75876007936 = 161208^2 + 275456^2 .

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, 209562 + ... + 497638.

It is an arithmetic number, because the mean of its divisors is an integer number (1701244629).

Almost surely, 2^101864027200 is an apocalyptic number.

101864027200 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 101864027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142904548836).

101864027200 is an abundant number, since it is smaller than the sum of its proper divisors (183945070472).

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

101864027200 is a wasteful number, since it uses less digits than its factorization.

101864027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288129 (or 288114 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 101864027200 in words is "one hundred one billion, eight hundred sixty-four million, twenty-seven thousand, two hundred".