1001121210000 has 600 divisors, whose sum is σ = 3785174856320. Its totient is φ = 246063744000.

The previous prime is 1001121209999. The next prime is 1001121210007. The reversal of 1001121210000 is 121211001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1001121210000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1001121210007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63262089 + ... + 63277911.

Almost surely, 2^{1001121210000} is an apocalyptic number.

1001121210000 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 1001121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892587428160).

1001121210000 is an abundant number, since it is smaller than the sum of its proper divisors (2784053646320).

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

1001121210000 is a wasteful number, since it uses less digits than its factorization.

1001121210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15913 (or 15889 counting only the distinct ones).

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

Adding to 1001121210000 its reverse (121211001), we get a palindrome (1001242421001).

It can be divided in two parts, 1001121 and 210000, that added together give a palindrome (1211121).

The spelling of 1001121210000 in words is "one trillion, one billion, one hundred twenty-one million, two hundred ten thousand".