10011121210000 has 100 divisors (see below), whose sum is σ = 24298987906732. Its totient is φ = 3994360128000.

The previous prime is 10011121209979. The next prime is 10011121210109. The reversal of 10011121210000 is 1212111001.

It can be written as a sum of positive squares in 10 ways, for example, as 5936746663936 + 4074374546064 = 2436544^2 + 2018508^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2709154 + ... + 5230846.

Almost surely, 2^{10011121210000} is an apocalyptic number.

10011121210000 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 10011121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149493953366).

10011121210000 is an abundant number, since it is smaller than the sum of its proper divisors (14287866696732).

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

10011121210000 is an equidigital number, since it uses as much as digits as its factorization.

10011121210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522118 (or 2522097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011121210000 its reverse (1212111001), we get a palindrome (10012333321001).

The spelling of 10011121210000 in words is "ten trillion, eleven billion, one hundred twenty-one million, two hundred ten thousand".