10012101102210 has 256 divisors, whose sum is σ = 25919502336000. Its totient is φ = 2467668602880.

The previous prime is 10012101102193. The next prime is 10012101102217. The reversal of 10012101102210 is 1220110121001.

10012101102210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10012101102217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2360785690 + ... + 2360789930.

It is an arithmetic number, because the mean of its divisors is an integer number (101248056000).

Almost surely, 2^{10012101102210} is an apocalyptic number.

10012101102210 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 10012101102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959751168000).

10012101102210 is an abundant number, since it is smaller than the sum of its proper divisors (15907401233790).

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

10012101102210 is a wasteful number, since it uses less digits than its factorization.

10012101102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961.

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

Adding to 10012101102210 its reverse (1220110121001), we get a palindrome (11232211223211).

The spelling of 10012101102210 in words is "ten trillion, twelve billion, one hundred one million, one hundred two thousand, two hundred ten".