1001100212000 has 96 divisors (see below), whose sum is σ = 2811089473920. Its totient is φ = 343234348800.

The previous prime is 1001100211973. The next prime is 1001100212009. The reversal of 1001100212000 is 2120011001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1001100212009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17848790 + ... + 17904789.

It is an arithmetic number, because the mean of its divisors is an integer number (29282182020).

Almost surely, 2^{1001100212000} is an apocalyptic number.

1001100212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100212000 is an abundant number, since it is smaller than the sum of its proper divisors (1809989261920).

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

1001100212000 is an equidigital number, since it uses as much as digits as its factorization.

1001100212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35753611 (or 35753593 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001100212000 its reverse (2120011001), we get a palindrome (1003220223001).

The spelling of 1001100212000 in words is "one trillion, one billion, one hundred million, two hundred twelve thousand".