10210222120000 has 210 divisors, whose sum is σ = 29451594521382. Its totient is φ = 3500646912000.

The previous prime is 10210222119973. The next prime is 10210222120031. The reversal of 10210222120000 is 2122201201.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 7043758464064 + 3166463655936 = 2654008^2 + 1779456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 644649 + ... + 4564648.

Almost surely, 2^{10210222120000} is an apocalyptic number.

10210222120000 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 10210222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725797260691).

10210222120000 is an abundant number, since it is smaller than the sum of its proper divisors (19241372401382).

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

10210222120000 is an frugal number, since it uses more digits than its factorization.

10210222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209343 (or 5209311 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10210222120000 its reverse (2122201201), we get a palindrome (10212344321201).

The spelling of 10210222120000 in words is "ten trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty thousand".