100012001000000 has 392 divisors, whose sum is σ = 252562083882696. Its totient is φ = 39283200000000.

The previous prime is 100012000999957. The next prime is 100012001000011. The reversal of 100012001000000 is 100210001.

It is a happy number.

It can be written as a sum of positive squares in 28 ways, for example, as 1048182820864 + 98963818179136 = 1023808^2 + 9948056^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53740999070 + ... + 53741000930.

It is an arithmetic number, because the mean of its divisors is an integer number (644291030313).

Almost surely, 2^{100012001000000} is an apocalyptic number.

100012001000000 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 100012001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126281041941348).

100012001000000 is an abundant number, since it is smaller than the sum of its proper divisors (152550082882696).

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

100012001000000 is an frugal number, since it uses more digits than its factorization.

100012001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100012001000000 its reverse (100210001), we get a palindrome (100012101210001).

The spelling of 100012001000000 in words is "one hundred trillion, twelve billion, one million", and thus it is an aban number.