10220210021000 has 256 divisors, whose sum is σ = 27726102144000. Its totient is φ = 3453584947200.

The previous prime is 10220210020987. The next prime is 10220210021017. The reversal of 10220210021000 is 12001202201.

It is a happy number.

10220210021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 796642586 + ... + 796655414.

It is an arithmetic number, because the mean of its divisors is an integer number (108305086500).

Almost surely, 2^{10220210021000} is an apocalyptic number.

10220210021000 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 10220210021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863051072000).

10220210021000 is an abundant number, since it is smaller than the sum of its proper divisors (17505892123000).

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

10220210021000 is a wasteful number, since it uses less digits than its factorization.

10220210021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14489 (or 14475 counting only the distinct ones).

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

Adding to 10220210021000 its reverse (12001202201), we get a palindrome (10232211223201).

The spelling of 10220210021000 in words is "ten trillion, two hundred twenty billion, two hundred ten million, twenty-one thousand".