10020222101000 has 256 divisors, whose sum is σ = 24827144509440. Its totient is φ = 3779136000000.

The previous prime is 10020222100951. The next prime is 10020222101051. The reversal of 10020222101000 is 10122202001.

It is a happy 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, 1030776140 + ... + 1030785860.

It is an arithmetic number, because the mean of its divisors is an integer number (96981033240).

Almost surely, 2^{10020222101000} is an apocalyptic number.

10020222101000 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 10020222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413572254720).

10020222101000 is an abundant number, since it is smaller than the sum of its proper divisors (14806922408440).

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

10020222101000 is a wasteful number, since it uses less digits than its factorization.

10020222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10611 counting only the distinct ones).

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

Adding to 10020222101000 its reverse (10122202001), we get a palindrome (10030344303001).

The spelling of 10020222101000 in words is "ten trillion, twenty billion, two hundred twenty-two million, one hundred one thousand".