1001011221210 has 384 divisors, whose sum is σ = 3337953357312. Its totient is φ = 186810624000.

The previous prime is 1001011221209. The next prime is 1001011221229. The reversal of 1001011221210 is 121221101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12181260 + ... + 12263160.

It is an arithmetic number, because the mean of its divisors is an integer number (8692586868).

Almost surely, 2^{1001011221210} is an apocalyptic number.

1001011221210 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 1001011221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668976678656).

1001011221210 is an abundant number, since it is smaller than the sum of its proper divisors (2336942136102).

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

1001011221210 is a wasteful number, since it uses less digits than its factorization.

1001011221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81990 (or 81979 counting only the distinct ones).

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

Adding to 1001011221210 its reverse (121221101001), we get a palindrome (1122232322211).

It can be divided in two parts, 1001011 and 221210, that added together give a palindrome (1222221).

The spelling of 1001011221210 in words is "one trillion, one billion, eleven million, two hundred twenty-one thousand, two hundred ten".