10221012110010 has 512 divisors, whose sum is σ = 29581396992000. Its totient is φ = 2235726434304.

The previous prime is 10221012109999. The next prime is 10221012110081. The reversal of 10221012110010 is 1001121012201.

It is a super-3 number, since 3×10221012110010³ (a number of 40 digits) contains 333 as substring.

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, 5118182332 + ... + 5118184328.

It is an arithmetic number, because the mean of its divisors is an integer number (57776166000).

Almost surely, 2^{10221012110010} is an apocalyptic number.

10221012110010 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 10221012110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790698496000).

10221012110010 is an abundant number, since it is smaller than the sum of its proper divisors (19360384881990).

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

10221012110010 is a wasteful number, since it uses less digits than its factorization.

10221012110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221012110010 its reverse (1001121012201), we get a palindrome (11222133122211).

The spelling of 10221012110010 in words is "ten trillion, two hundred twenty-one billion, twelve million, one hundred ten thousand, ten".