10100101100010 has 16 divisors (see below), whose sum is σ = 24240242640096. Its totient is φ = 2693360293328.

The previous prime is 10100101100003. The next prime is 10100101100039. The reversal of 10100101100010 is 1000110100101.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 168335018304 + ... + 168335018363.

It is an arithmetic number, because the mean of its divisors is an integer number (1515015165006).

Almost surely, 2^{10100101100010} is an apocalyptic number.

10100101100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100101100010 is an abundant number, since it is smaller than the sum of its proper divisors (14140141540086).

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

10100101100010 is a wasteful number, since it uses less digits than its factorization.

10100101100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336670036677.

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

Adding to 10100101100010 its reverse (1000110100101), we get a palindrome (11100211200111).

Subtracting from 10100101100010 its reverse (1000110100101), we obtain a palindrome (9099990999909).

The spelling of 10100101100010 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, ten".