10100010110010 has 128 divisors (see below), whose sum is σ = 25188028220160. Its totient is φ = 2588855808000.

The previous prime is 10100010109967. The next prime is 10100010110017. The reversal of 10100010110010 is 1001101000101.

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

It is not an unprimeable number, because it can be changed into a prime (10100010110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201841954 + ... + 201891986.

It is an arithmetic number, because the mean of its divisors is an integer number (196781470470).

Almost surely, 2^{10100010110010} is an apocalyptic number.

10100010110010 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 10100010110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594014110080).

10100010110010 is an abundant number, since it is smaller than the sum of its proper divisors (15088018110150).

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

10100010110010 is a wasteful number, since it uses less digits than its factorization.

10100010110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51104.

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

Adding to 10100010110010 its reverse (1001101000101), we get a palindrome (11101111110111).

The spelling of 10100010110010 in words is "ten trillion, one hundred billion, ten million, one hundred ten thousand, ten".