10010201222000 has 320 divisors, whose sum is σ = 29642626750464. Its totient is φ = 3191258419200.

The previous prime is 10010201221973. The next prime is 10010201222011. The reversal of 10010201222000 is 22210201001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19500629 + ... + 20007371.

Almost surely, 2^{10010201222000} is an apocalyptic number.

10010201222000 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 10010201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821313375232).

10010201222000 is an abundant number, since it is smaller than the sum of its proper divisors (19632425528464).

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

10010201222000 is a wasteful number, since it uses less digits than its factorization.

10010201222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506873 (or 506857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10010201222000 its reverse (22210201001), we get a palindrome (10032411423001).

The spelling of 10010201222000 in words is "ten trillion, ten billion, two hundred one million, two hundred twenty-two thousand".