412210010100200 has 144 divisors (see below), whose sum is σ = 1038388775220900. Its totient is φ = 152111539507200.

The previous prime is 412210010100169. The next prime is 412210010100221. The reversal of 412210010100200 is 2001010012214.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 55920753208324 + 356289256891876 = 7478018^2 + 18875626^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54196160 + ... + 61332240.

Almost surely, 2^{412210010100200} is an apocalyptic number.

412210010100200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412210010100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519194387610450).

412210010100200 is an abundant number, since it is smaller than the sum of its proper divisors (626178765120700).

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

412210010100200 is a wasteful number, since it uses less digits than its factorization.

412210010100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137832 (or 7137810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 412210010100200 its reverse (2001010012214), we get a palindrome (414211020112414).

The spelling of 412210010100200 in words is "four hundred twelve trillion, two hundred ten billion, ten million, one hundred thousand, two hundred".