10202010122010 has 128 divisors (see below), whose sum is σ = 28942081228800. Its totient is φ = 2252231573760.

The previous prime is 10202010122009. The next prime is 10202010122069. The reversal of 10202010122010 is 1022101020201.

10202010122010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1774171 + ... + 4853009.

It is an arithmetic number, because the mean of its divisors is an integer number (226110009600).

Almost surely, 2^{10202010122010} is an apocalyptic number.

10202010122010 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 10202010122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471040614400).

10202010122010 is an abundant number, since it is smaller than the sum of its proper divisors (18740071106790).

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

10202010122010 is a wasteful number, since it uses less digits than its factorization.

10202010122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079396.

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

Adding to 10202010122010 its reverse (1022101020201), we get a palindrome (11224111142211).

The spelling of 10202010122010 in words is "ten trillion, two hundred two billion, ten million, one hundred twenty-two thousand, ten".