101100312034 has 16 divisors (see below), whose sum is σ = 152897110488. Its totient is φ = 50135283712.

The previous prime is 101100312011. The next prime is 101100312073. The reversal of 101100312034 is 430213001101.

It can be written as a sum of positive squares in 4 ways, for example, as 60375861225 + 40724450809 = 245715^2 + 201803^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100311999 and 101100312017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132402 + ... + 468754.

Almost surely, 2^101100312034 is an apocalyptic number.

101100312034 is a deficient number, since it is larger than the sum of its proper divisors (51796798454).

101100312034 is a wasteful number, since it uses less digits than its factorization.

101100312034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337589.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101100312034 its reverse (430213001101), we get a palindrome (531313313135).

The spelling of 101100312034 in words is "one hundred one billion, one hundred million, three hundred twelve thousand, thirty-four".