10001031222000 has 480 divisors, whose sum is σ = 40392751823424. Its totient is φ = 2110106880000.

The previous prime is 10001031221969. The next prime is 10001031222011. The reversal of 10001031222000 is 22213010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2513650 + ... + 5130350.

Almost surely, 2^{10001031222000} is an apocalyptic number.

10001031222000 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 10001031222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196375911712).

10001031222000 is an abundant number, since it is smaller than the sum of its proper divisors (30391720601424).

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

10001031222000 is a wasteful number, since it uses less digits than its factorization.

10001031222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616754 (or 2616731 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10001031222000 its reverse (22213010001), we get a palindrome (10023244232001).

The spelling of 10001031222000 in words is "ten trillion, one billion, thirty-one million, two hundred twenty-two thousand".