10212001111000 has 256 divisors, whose sum is σ = 25818610446720. Its totient is φ = 3758250240000.

The previous prime is 10212001110979. The next prime is 10212001111007. The reversal of 10212001111000 is 11110021201.

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 (10212001111007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9360220455 + ... + 9360221545.

Almost surely, 2^{10212001111000} is an apocalyptic number.

10212001111000 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 10212001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909305223360).

10212001111000 is an abundant number, since it is smaller than the sum of its proper divisors (15606609335720).

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

10212001111000 is a wasteful number, since it uses less digits than its factorization.

10212001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2809 counting only the distinct ones).

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

Adding to 10212001111000 its reverse (11110021201), we get a palindrome (10223111132201).

The spelling of 10212001111000 in words is "ten trillion, two hundred twelve billion, one million, one hundred eleven thousand".