10002222021012 has 768 divisors, whose sum is σ = 29038133698560. Its totient is φ = 2646234759168.

The previous prime is 10002222020941. The next prime is 10002222021037. The reversal of 10002222021012 is 21012022220001.

10002222021012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10002222020982 and 10002222021000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59893544953 + ... + 59893545119.

It is an arithmetic number, because the mean of its divisors is an integer number (37810069920).

Almost surely, 2^{10002222021012} is an apocalyptic number.

10002222021012 is a gapful number since it is divisible by the number (12) 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 10002222021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519066849280).

10002222021012 is an abundant number, since it is smaller than the sum of its proper divisors (19035911677548).

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

10002222021012 is a wasteful number, since it uses less digits than its factorization.

10002222021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002222021012 its reverse (21012022220001), we get a palindrome (31014244241013).

The spelling of 10002222021012 in words is "ten trillion, two billion, two hundred twenty-two million, twenty-one thousand, twelve".