412100212042100 has 72 divisors (see below), whose sum is σ = 900551289445248. Its totient is φ = 163680833232000.

The previous prime is 412100212042069. The next prime is 412100212042109. The reversal of 412100212042100 is 1240212001214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412100212042109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30955562 + ... + 42219038.

Almost surely, 2^{412100212042100} 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 412100212042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450275644722624).

412100212042100 is an abundant number, since it is smaller than the sum of its proper divisors (488451077403148).

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

412100212042100 is a wasteful number, since it uses less digits than its factorization.

412100212042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11266065 (or 11266058 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 412100212042100 its reverse (1240212001214), we get a palindrome (413340424043314).

The spelling of 412100212042100 in words is "four hundred twelve trillion, one hundred billion, two hundred twelve million, forty-two thousand, one hundred".