10112002011210 has 256 divisors, whose sum is σ = 27225429073920. Its totient is φ = 2382508719360.

The previous prime is 10112002011203. The next prime is 10112002011227. The reversal of 10112002011210 is 1211020021101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3802932861 + ... + 3802935519.

It is an arithmetic number, because the mean of its divisors is an integer number (106349332320).

Almost surely, 2^{10112002011210} is an apocalyptic number.

10112002011210 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 10112002011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13612714536960).

10112002011210 is an abundant number, since it is smaller than the sum of its proper divisors (17113427062710).

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

10112002011210 is a wasteful number, since it uses less digits than its factorization.

10112002011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953.

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

Adding to 10112002011210 its reverse (1211020021101), we get a palindrome (11323022032311).

The spelling of 10112002011210 in words is "ten trillion, one hundred twelve billion, two million, eleven thousand, two hundred ten".