10012121010210 has 128 divisors (see below), whose sum is σ = 26548126617600. Its totient is φ = 2396208222720.

The previous prime is 10012121010191. The next prime is 10012121010211. The reversal of 10012121010210 is 1201012121001.

It is not an unprimeable number, because it can be changed into a prime (10012121010211) 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, 424068886 + ... + 424092494.

It is an arithmetic number, because the mean of its divisors is an integer number (207407239200).

Almost surely, 2^{10012121010210} is an apocalyptic number.

10012121010210 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 10012121010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274063308800).

10012121010210 is an abundant number, since it is smaller than the sum of its proper divisors (16536005607390).

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

10012121010210 is a wasteful number, since it uses less digits than its factorization.

10012121010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39976.

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

Adding to 10012121010210 its reverse (1201012121001), we get a palindrome (11213133131211).

The spelling of 10012121010210 in words is "ten trillion, twelve billion, one hundred twenty-one million, ten thousand, two hundred ten".