10221122010 has 256 divisors, whose sum is σ = 28939991040. Its totient is φ = 2284277760.

The previous prime is 10221121951. The next prime is 10221122081. The reversal of 10221122010 is 1022112201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62706189 + ... + 62706351.

It is an arithmetic number, because the mean of its divisors is an integer number (113046840).

Almost surely, 2^10221122010 is an apocalyptic number.

10221122010 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 10221122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469995520).

10221122010 is an abundant number, since it is smaller than the sum of its proper divisors (18718869030).

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

10221122010 is a wasteful number, since it uses less digits than its factorization.

10221122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221122010 its reverse (1022112201), we get a palindrome (11243234211).

It can be divided in two parts, 10221 and 122010, that added together give a palindrome (132231).

The spelling of 10221122010 in words is "ten billion, two hundred twenty-one million, one hundred twenty-two thousand, ten".