10002120212010 has 128 divisors (see below), whose sum is σ = 24609386075904. Its totient is φ = 2601068544000.

The previous prime is 10002120211957. The next prime is 10002120212011. The reversal of 10002120212010 is 1021202120001.

It is not an unprimeable number, because it can be changed into a prime (10002120212011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75241122 + ... + 75373938.

It is an arithmetic number, because the mean of its divisors is an integer number (192260828718).

Almost surely, 2^{10002120212010} is an apocalyptic number.

10002120212010 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 10002120212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304693037952).

10002120212010 is an abundant number, since it is smaller than the sum of its proper divisors (14607265863894).

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

10002120212010 is a wasteful number, since it uses less digits than its factorization.

10002120212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133288.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002120212010 its reverse (1021202120001), we get a palindrome (11023322332011).

The spelling of 10002120212010 in words is "ten trillion, two billion, one hundred twenty million, two hundred twelve thousand, ten".