431000122100 has 72 divisors (see below), whose sum is σ = 958924624896. Its totient is φ = 168047200000.

The previous prime is 431000122099. The next prime is 431000122121. The reversal of 431000122100 is 1221000134.

It is a super-2 number, since 2×431000122100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4673435 + ... + 4764765.

It is an arithmetic number, because the mean of its divisors is an integer number (13318397568).

Almost surely, 2^431000122100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431000122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479462312448).

431000122100 is an abundant number, since it is smaller than the sum of its proper divisors (527924502796).

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

431000122100 is a wasteful number, since it uses less digits than its factorization.

431000122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92537 (or 92530 counting only the distinct ones).

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

Adding to 431000122100 its reverse (1221000134), we get a palindrome (432221122234).

The spelling of 431000122100 in words is "four hundred thirty-one billion, one hundred twenty-two thousand, one hundred".