101168984700 has 216 divisors, whose sum is σ = 362646546080. Its totient is φ = 23109235200.

The previous prime is 101168984681. The next prime is 101168984701. The reversal of 101168984700 is 7489861101.

It is a happy number.

101168984700 is a `hidden beast` number, since 10 + 1 + 168 + 9 + 8 + 470 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101168984701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11719986 + ... + 11728614.

Almost surely, 2^101168984700 is an apocalyptic number.

101168984700 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 101168984700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181323273040).

101168984700 is an abundant number, since it is smaller than the sum of its proper divisors (261477561380).

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

101168984700 is a wasteful number, since it uses less digits than its factorization.

101168984700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517 (or 10507 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 101168984700 in words is "one hundred one billion, one hundred sixty-eight million, nine hundred eighty-four thousand, seven hundred".