10011022021000 has 512 divisors, whose sum is σ = 32820400005120. Its totient is φ = 2755057536000.

The previous prime is 10011022020983. The next prime is 10011022021003. The reversal of 10011022021000 is 12022011001.

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

It is not an unprimeable number, because it can be changed into a prime (10011022021003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22805587 + ... + 23240413.

It is an arithmetic number, because the mean of its divisors is an integer number (64102343760).

Almost surely, 2^{10011022021000} is an apocalyptic number.

10011022021000 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 10011022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410200002560).

10011022021000 is an abundant number, since it is smaller than the sum of its proper divisors (22809377984120).

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

10011022021000 is a wasteful number, since it uses less digits than its factorization.

10011022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434902 (or 434888 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10011022021000 its reverse (12022011001), we get a palindrome (10023044032001).

Subtracting from 10011022021000 its reverse (12022011001), we obtain a palindrome (9999000009999).

The spelling of 10011022021000 in words is "ten trillion, eleven billion, twenty-two million, twenty-one thousand".