100012012011000 has 256 divisors, whose sum is σ = 346946079168000. Its totient is φ = 26651579817600.

The previous prime is 100012012010983. The next prime is 100012012011011. The reversal of 100012012011000 is 110210210001.

It is a happy number.

It is a super-3 number, since 3×100012012011000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38123587 + ... + 40662413.

It is an arithmetic number, because the mean of its divisors is an integer number (1355258121750).

Almost surely, 2^{100012012011000} is an apocalyptic number.

100012012011000 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 100012012011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173473039584000).

100012012011000 is an abundant number, since it is smaller than the sum of its proper divisors (246934067157000).

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

100012012011000 is a wasteful number, since it uses less digits than its factorization.

100012012011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540316 (or 2540296 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100012012011000 its reverse (110210210001), we get a palindrome (100122222221001).

The spelling of 100012012011000 in words is "one hundred trillion, twelve billion, twelve million, eleven thousand".