101227417200 has 1800 divisors, whose sum is σ = 476659075200. Its totient is φ = 20088207360.

The previous prime is 101227417199. The next prime is 101227417223. The reversal of 101227417200 is 2714722101.

It is a happy number.

101227417200 is a `hidden beast` number, since 1 + 0 + 1 + 227 + 417 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 728254731 + ... + 728254869.

Almost surely, 2^101227417200 is an apocalyptic number.

101227417200 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 101227417200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238329537600).

101227417200 is an abundant number, since it is smaller than the sum of its proper divisors (375431658000).

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

101227417200 is a wasteful number, since it uses less digits than its factorization.

101227417200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 101227417200 in words is "one hundred one billion, two hundred twenty-seven million, four hundred seventeen thousand, two hundred".