10010121030210 has 288 divisors, whose sum is σ = 28504499377536. Its totient is φ = 2243033856000.

The previous prime is 10010121030191. The next prime is 10010121030241. The reversal of 10010121030210 is 1203012101001.

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 143 ways as a sum of consecutive naturals, for example, 1544530170 + ... + 1544536650.

It is an arithmetic number, because the mean of its divisors is an integer number (98973956172).

Almost surely, 2^{10010121030210} is an apocalyptic number.

10010121030210 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 10010121030210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252249688768).

10010121030210 is an abundant number, since it is smaller than the sum of its proper divisors (18494378347326).

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

10010121030210 is a wasteful number, since it uses less digits than its factorization.

10010121030210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810 (or 6702 counting only the distinct ones).

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

Adding to 10010121030210 its reverse (1203012101001), we get a palindrome (11213133131211).

The spelling of 10010121030210 in words is "ten trillion, ten billion, one hundred twenty-one million, thirty thousand, two hundred ten".