412122040101 has 20 divisors (see below), whose sum is σ = 615694697772. Its totient is φ = 274723213248.

The previous prime is 412122040093. The next prime is 412122040147. The reversal of 412122040101 is 101040221214.

412122040101 is a `hidden beast` number, since 41 + 2 + 1 + 220 + 401 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 253662315201 + 158459724900 = 503649^2 + 398070^2 .

It is not a de Polignac number, because 412122040101 - 2³ = 412122040093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412122040151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 695515 + ... + 1143671.

Almost surely, 2^412122040101 is an apocalyptic number.

It is an amenable number.

412122040101 is a deficient number, since it is larger than the sum of its proper divisors (203572657671).

412122040101 is a wasteful number, since it uses less digits than its factorization.

412122040101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459522 (or 459513 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 412122040101 its reverse (101040221214), we get a palindrome (513162261315).

The spelling of 412122040101 in words is "four hundred twelve billion, one hundred twenty-two million, forty thousand, one hundred one".