100630220064000 has 1152 divisors, whose sum is σ = 372954435969024. Its totient is φ = 23839805440000.

The previous prime is 100630220063957. The next prime is 100630220064083. The reversal of 100630220064000 is 460022036001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47001502930 + ... + 47001505070.

It is an arithmetic number, because the mean of its divisors is an integer number (323745170112).

Almost surely, 2^{100630220064000} is an apocalyptic number.

100630220064000 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 100630220064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186477217984512).

100630220064000 is an abundant number, since it is smaller than the sum of its proper divisors (272324215905024).

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

100630220064000 is a wasteful number, since it uses less digits than its factorization.

100630220064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 100630220064000 in words is "one hundred trillion, six hundred thirty billion, two hundred twenty million, sixty-four thousand".