10001121211000 has 512 divisors, whose sum is σ = 25509112012800. Its totient is φ = 3660376473600.

The previous prime is 10001121210961. The next prime is 10001121211007. The reversal of 10001121211000 is 11212110001.

It is a super-2 number, since 2×10001121211000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121211007) 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 127 ways as a sum of consecutive naturals, for example, 14860506664 + ... + 14860507336.

It is an arithmetic number, because the mean of its divisors is an integer number (49822484400).

Almost surely, 2^{10001121211000} is an apocalyptic number.

10001121211000 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 10001121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754556006400).

10001121211000 is an abundant number, since it is smaller than the sum of its proper divisors (15507990801800).

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

10001121211000 is a wasteful number, since it uses less digits than its factorization.

10001121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

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

Adding to 10001121211000 its reverse (11212110001), we get a palindrome (10012333321001).

The spelling of 10001121211000 in words is "ten trillion, one billion, one hundred twenty-one million, two hundred eleven thousand".