10000101002010 has 128 divisors (see below), whose sum is σ = 27954559987200. Its totient is φ = 2242343347200.

The previous prime is 10000101001981. The next prime is 10000101002071. The reversal of 10000101002010 is 1020010100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10000101002010.

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, 149136 + ... + 4474644.

It is an arithmetic number, because the mean of its divisors is an integer number (218394999900).

Almost surely, 2^{10000101002010} is an apocalyptic number.

10000101002010 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 10000101002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977279993600).

10000101002010 is an abundant number, since it is smaller than the sum of its proper divisors (17954458985190).

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

10000101002010 is a wasteful number, since it uses less digits than its factorization.

10000101002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325736.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000101002010 its reverse (1020010100001), we get a palindrome (11020111102011).

The spelling of 10000101002010 in words is "ten trillion, one hundred one million, two thousand, ten".