2101000040 has 16 divisors (see below), whose sum is σ = 4727250180. Its totient is φ = 840400000.

The previous prime is 2101000037. The next prime is 2101000043. The reversal of 2101000040 is 400001012.

It is an interprime number because it is at equal distance from previous prime (2101000037) and next prime (2101000043).

It can be written as a sum of positive squares in 2 ways, for example, as 1958770564 + 142229476 = 44258^2 + 11926^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2100999991 and 2101000027.

It is not an unprimeable number, because it can be changed into a prime (2101000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26262461 + ... + 26262540.

Almost surely, 2^2101000040 is an apocalyptic number.

2101000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101000040 is an abundant number, since it is smaller than the sum of its proper divisors (2626250140).

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

2101000040 is a wasteful number, since it uses less digits than its factorization.

2101000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52525012 (or 52525008 counting only the distinct ones).

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

The square root of 2101000040 is about 45836.6669817953. Note that the first 3 decimals coincide. The cubic root of 2101000040 is about 1280.7824073937.

Adding to 2101000040 its reverse (400001012), we get a palindrome (2501001052).

The spelling of 2101000040 in words is "two billion, one hundred one million, forty", and thus it is an aban number.