10221122121210 has 384 divisors, whose sum is σ = 36440193613824. Its totient is φ = 1918781498880.

The previous prime is 10221122121191. The next prime is 10221122121211. The reversal of 10221122121210 is 1212122112201.

10221122121210 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 221 + 21 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10221122121211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3027267 + ... + 5441193.

It is an arithmetic number, because the mean of its divisors is an integer number (94896337536).

Almost surely, 2^{10221122121210} is an apocalyptic number.

10221122121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221122121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220096806912).

10221122121210 is an abundant number, since it is smaller than the sum of its proper divisors (26219071492614).

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

10221122121210 is a wasteful number, since it uses less digits than its factorization.

10221122121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414018 (or 2414015 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221122121210 its reverse (1212122112201), we get a palindrome (11433244233411).

Subtracting from 10221122121210 its reverse (1212122112201), we obtain a palindrome (9009000009009).

The spelling of 10221122121210 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred ten".