10013000121210 has 128 divisors (see below), whose sum is σ = 26358423404544. Its totient is φ = 2423405306880.

The previous prime is 10013000121203. The next prime is 10013000121233. The reversal of 10013000121210 is 1212100031001.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3355267 + ... + 5593193.

It is an arithmetic number, because the mean of its divisors is an integer number (205925182848).

Almost surely, 2^{10013000121210} is an apocalyptic number.

10013000121210 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 10013000121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179211702272).

10013000121210 is an abundant number, since it is smaller than the sum of its proper divisors (16345423283334).

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

10013000121210 is a wasteful number, since it uses less digits than its factorization.

10013000121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238268.

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

Adding to 10013000121210 its reverse (1212100031001), we get a palindrome (11225100152211).

The spelling of 10013000121210 in words is "ten trillion, thirteen billion, one hundred twenty-one thousand, two hundred ten".