1001121210210 has 96 divisors (see below), whose sum is σ = 2655567061056. Its totient is φ = 241355030400.

The previous prime is 1001121210181. The next prime is 1001121210211. The reversal of 1001121210210 is 120121211001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001121210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104824 + ... + 1418883.

It is an arithmetic number, because the mean of its divisors is an integer number (27662156886).

Almost surely, 2^{1001121210210} is an apocalyptic number.

1001121210210 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 1001121210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327783530528).

1001121210210 is an abundant number, since it is smaller than the sum of its proper divisors (1654445850846).

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

1001121210210 is a wasteful number, since it uses less digits than its factorization.

1001121210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523920 (or 1523909 counting only the distinct ones).

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

Adding to 1001121210210 its reverse (120121211001), we get a palindrome (1121242421211).

The spelling of 1001121210210 in words is "one trillion, one billion, one hundred twenty-one million, two hundred ten thousand, two hundred ten".