10100100010034 has 64 divisors (see below), whose sum is σ = 16333500324960. Its totient is φ = 4667396751360.

The previous prime is 10100100010009. The next prime is 10100100010043. The reversal of 10100100010034 is 43001000100101.

It can be written as a sum of positive squares in 16 ways, for example, as 27391905025 + 10072708105009 = 165505^2 + 3173753^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100100009997 and 10100100010024.

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 31 ways as a sum of consecutive naturals, for example, 187036142 + ... + 187090134.

Almost surely, 2^{10100100010034} is an apocalyptic number.

10100100010034 is a deficient number, since it is larger than the sum of its proper divisors (6233400314926).

10100100010034 is a wasteful number, since it uses less digits than its factorization.

10100100010034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54575.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10100100010034 its reverse (43001000100101), we get a palindrome (53101100110135).

The spelling of 10100100010034 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, thirty-four".