4122100461 has 16 divisors (see below), whose sum is σ = 5557870080. Its totient is φ = 2717358000.

The previous prime is 4122100459. The next prime is 4122100501. The reversal of 4122100461 is 1640012214.

4122100461 = 54² + 55² + ... + 2312².

It is a happy number.

It is not a de Polignac number, because 4122100461 - 2¹ = 4122100459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122300461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84976 + ... + 124358.

It is an arithmetic number, because the mean of its divisors is an integer number (347366880).

Almost surely, 2^4122100461 is an apocalyptic number.

It is an amenable number.

4122100461 is a deficient number, since it is larger than the sum of its proper divisors (1435769619).

4122100461 is a wasteful number, since it uses less digits than its factorization.

4122100461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39776.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4122100461 is about 64203.5860447063. The cubic root of 4122100461 is about 1603.3913043567.

Adding to 4122100461 its reverse (1640012214), we get a palindrome (5762112675).

The spelling of 4122100461 in words is "four billion, one hundred twenty-two million, one hundred thousand, four hundred sixty-one".