10010101100010 has 128 divisors (see below), whose sum is σ = 26602892909568. Its totient is φ = 2390160960000.

The previous prime is 10010101099993. The next prime is 10010101100033. The reversal of 10010101100010 is 1000110101001.

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

It is a Curzon number.

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, 200977110 + ... + 201026910.

It is an arithmetic number, because the mean of its divisors is an integer number (207835100856).

Almost surely, 2^{10010101100010} is an apocalyptic number.

10010101100010 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 10010101100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301446454784).

10010101100010 is an abundant number, since it is smaller than the sum of its proper divisors (16592791809558).

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

10010101100010 is a wasteful number, since it uses less digits than its factorization.

10010101100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58980.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10010101100010 its reverse (1000110101001), we get a palindrome (11010211201011).

Subtracting from 10010101100010 its reverse (1000110101001), we obtain a palindrome (9009990999009).

The spelling of 10010101100010 in words is "ten trillion, ten billion, one hundred one million, one hundred thousand, ten".