21367799378100 has 432 divisors, whose sum is σ = 82750509878400. Its totient is φ = 4501956879360.

The previous prime is 21367799377997. The next prime is 21367799378141. The reversal of 21367799378100 is 187399776312.

21367799378100 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 77 + 99 + 378 + 100 = 666.

It is a super-2 number, since 2×21367799378100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2016586 + ... + 6841214.

It is an arithmetic number, because the mean of its divisors is an integer number (191552106200).

Almost surely, 2^{21367799378100} is an apocalyptic number.

21367799378100 is a gapful number since it is divisible by the number (20) 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 21367799378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41375254939200).

21367799378100 is an abundant number, since it is smaller than the sum of its proper divisors (61382710500300).

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

21367799378100 is a wasteful number, since it uses less digits than its factorization.

21367799378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824712 (or 4824702 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 21367799378100 in words is "twenty-one trillion, three hundred sixty-seven billion, seven hundred ninety-nine million, three hundred seventy-eight thousand, one hundred".