412053202100 has 36 divisors (see below), whose sum is σ = 915964127148. Its totient is φ = 160801248000.

The previous prime is 412053202091. The next prime is 412053202109. The reversal of 412053202100 is 1202350214.

It is an interprime number because it is at equal distance from previous prime (412053202091) and next prime (412053202109).

It can be written as a sum of positive squares in 6 ways, for example, as 37739278756 + 374313923344 = 194266^2 + 611812^2 .

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 (412053202109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50246291 + ... + 50254490.

Almost surely, 2^412053202100 is an apocalyptic number.

It is an amenable number.

412053202100 is an abundant number, since it is smaller than the sum of its proper divisors (503910925048).

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

412053202100 is a wasteful number, since it uses less digits than its factorization.

412053202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100500836 (or 100500829 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 412053202100 its reverse (1202350214), we get a palindrome (413255552314).

The spelling of 412053202100 in words is "four hundred twelve billion, fifty-three million, two hundred two thousand, one hundred".