100634349101 has 32 divisors (see below), whose sum is σ = 125610307200. Its totient is φ = 79332583680.

The previous prime is 100634349089. The next prime is 100634349121. The reversal of 100634349101 is 101943436001.

It is a cyclic number.

It is not a de Polignac number, because 100634349101 - 2⁶ = 100634349037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100634349121) 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, 174491 + ... + 481368.

It is an arithmetic number, because the mean of its divisors is an integer number (3925322100).

Almost surely, 2^100634349101 is an apocalyptic number.

100634349101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100634349101 is a deficient number, since it is larger than the sum of its proper divisors (24975958099).

100634349101 is a wasteful number, since it uses less digits than its factorization.

100634349101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655949.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 100634349101 in words is "one hundred billion, six hundred thirty-four million, three hundred forty-nine thousand, one hundred one".