4142212101 has 40 divisors (see below), whose sum is σ = 6320338200. Its totient is φ = 2702937600.

The previous prime is 4142212091. The next prime is 4142212133. The reversal of 4142212101 is 1012122414.

It can be written as a sum of positive squares in 4 ways, for example, as 2157509601 + 1984702500 = 46449^2 + 44550^2 .

It is not a de Polignac number, because 4142212101 - 2¹⁸ = 4141949957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142212181) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725265 + ... + 730953.

It is an arithmetic number, because the mean of its divisors is an integer number (158008455).

Almost surely, 2^4142212101 is an apocalyptic number.

It is an amenable number.

4142212101 is a deficient number, since it is larger than the sum of its proper divisors (2178126099).

4142212101 is a wasteful number, since it uses less digits than its factorization.

4142212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5882 counting only the distinct ones).

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

The square root of 4142212101 is about 64360.0194297671. The cubic root of 4142212101 is about 1605.9947122411.

Adding to 4142212101 its reverse (1012122414), we get a palindrome (5154334515).

The spelling of 4142212101 in words is "four billion, one hundred forty-two million, two hundred twelve thousand, one hundred one".