100111476326400 has 4104 divisors, whose sum is σ = 471715761044736. Its totient is φ = 20055903436800.

The previous prime is 100111476326357. The next prime is 100111476326401. The reversal of 100111476326400 is 4623674111001.

100111476326400 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 1 + 4 + 7 + 6 + 3 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111476326401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1494201139167 + ... + 1494201139233.

It is an arithmetic number, because the mean of its divisors is an integer number (114940487584).

Almost surely, 2^{100111476326400} is an apocalyptic number.

100111476326400 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 100111476326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235857880522368).

100111476326400 is an abundant number, since it is smaller than the sum of its proper divisors (371604284718336).

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

100111476326400 is an equidigital number, since it uses as much as digits as its factorization.

100111476326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 100111476326400 in words is "one hundred trillion, one hundred eleven billion, four hundred seventy-six million, three hundred twenty-six thousand, four hundred".