10100434100 has 36 divisors (see below), whose sum is σ = 22003281804. Its totient is φ = 4024442880.

The previous prime is 10100434087. The next prime is 10100434109. The reversal of 10100434100 is 143400101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 399760036 + 9700674064 = 19994^2 + 98492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100434109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170807 + ... + 222206.

Almost surely, 2^10100434100 is an apocalyptic number.

10100434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100434100 is an abundant number, since it is smaller than the sum of its proper divisors (11902847704).

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

10100434100 is a wasteful number, since it uses less digits than its factorization.

10100434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393284 (or 393277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10100434100 its reverse (143400101), we get a palindrome (10243834201).

The spelling of 10100434100 in words is "ten billion, one hundred million, four hundred thirty-four thousand, one hundred".