434021112030100 has 54 divisors (see below), whose sum is σ = 1095593292808350. Its totient is φ = 148807238408640.

The previous prime is 434021112030091. The next prime is 434021112030109. The reversal of 434021112030100 is 1030211120434.

It is an interprime number because it is at equal distance from previous prime (434021112030091) and next prime (434021112030109).

It can be written as a sum of positive squares in 3 ways, for example, as 12974432816016 + 421046679214084 = 3602004^2 + 20519422^2 .

It is a super-2 number, since 2×434021112030100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434021112030109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44287863675 + ... + 44287873474.

Almost surely, 2^{434021112030100} is an apocalyptic number.

It is an amenable number.

434021112030100 is an abundant number, since it is smaller than the sum of its proper divisors (661572180778250).

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

434021112030100 is a wasteful number, since it uses less digits than its factorization.

434021112030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88575737177 (or 88575737163 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 434021112030100 its reverse (1030211120434), we get a palindrome (435051323150534).

The spelling of 434021112030100 in words is "four hundred thirty-four trillion, twenty-one billion, one hundred twelve million, thirty thousand, one hundred".