10001000100010 has 64 divisors (see below), whose sum is σ = 19462874091552. Its totient is φ = 3686399410176.

The previous prime is 10001000099843. The next prime is 10001000100011. The reversal of 10001000100010 is 1000100010001.

It can be written as a sum of positive squares in 16 ways, for example, as 4102800138369 + 5898199961641 = 2025537^2 + 2428621^2 .

10001000100010 is a modest number, since divided by 1000100010 gives 10 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10001000100011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241007 + ... + 4641346.

Almost surely, 2^{10001000100010} is an apocalyptic number.

10001000100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001000100010 is a deficient number, since it is larger than the sum of its proper divisors (9461873991542).

10001000100010 is a wasteful number, since it uses less digits than its factorization.

10001000100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882587.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10001000100010 its reverse (1000100010001), we get a palindrome (11001100110011).

Subtracting from 10001000100010 its reverse (1000100010001), we obtain a palindrome (9000900090009).

It can be divided in two parts, 10001000 and 100010, that multiplied together give a square (1000200010000 = 1000100²).

The spelling of 10001000100010 in words is "ten trillion, one billion, one hundred thousand, ten".