100110060501000 has 256 divisors, whose sum is σ = 340843225432320. Its totient is φ = 24261628160000.

The previous prime is 100110060500999. The next prime is 100110060501001. The reversal of 100110060501000 is 105060011001.

It is an interprime number because it is at equal distance from previous prime (100110060500999) and next prime (100110060501001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100110060501001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107015290 + ... + 107946710.

It is an arithmetic number, because the mean of its divisors is an integer number (1331418849345).

Almost surely, 2^{100110060501000} is an apocalyptic number.

100110060501000 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 100110060501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170421612716160).

100110060501000 is an abundant number, since it is smaller than the sum of its proper divisors (240733164931320).

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

100110060501000 is a wasteful number, since it uses less digits than its factorization.

100110060501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934713 (or 934699 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 100110060501000 in words is "one hundred trillion, one hundred ten billion, sixty million, five hundred one thousand".