4100010021 has 32 divisors (see below), whose sum is σ = 6109655040. Its totient is φ = 2717395200.

The previous prime is 4100010007. The next prime is 4100010049. The reversal of 4100010021 is 1200100014.

It is a happy number.

It is not a de Polignac number, because 4100010021 - 2¹⁴ = 4099993637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4100009985 and 4100010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5387281 + ... + 5388041.

It is an arithmetic number, because the mean of its divisors is an integer number (190926720).

Almost surely, 2^4100010021 is an apocalyptic number.

It is an amenable number.

4100010021 is a deficient number, since it is larger than the sum of its proper divisors (2009645019).

4100010021 is a wasteful number, since it uses less digits than its factorization.

4100010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4100010021 is about 64031.3206251441. The cubic root of 4100010021 is about 1600.5219678510.

Adding to 4100010021 its reverse (1200100014), we get a palindrome (5300110035).

The spelling of 4100010021 in words is "four billion, one hundred million, ten thousand, twenty-one".