2101010100010 has 16 divisors (see below), whose sum is σ = 3782160037800. Its totient is φ = 840328071616.

The previous prime is 2101010100001. The next prime is 2101010100011. The reversal of 2101010100010 is 100010101012.

It can be written as a sum of positive squares in 4 ways, for example, as 1609576853481 + 491433246529 = 1268691^2 + 701023^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2101010099966 and 2101010100002.

It is not an unprimeable number, because it can be changed into a prime (2101010100011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9379825 + ... + 9601204.

Almost surely, 2^{2101010100010} is an apocalyptic number.

2101010100010 is a deficient number, since it is larger than the sum of its proper divisors (1681149937790).

2101010100010 is a wasteful number, since it uses less digits than its factorization.

2101010100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18992105.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2101010100010 its reverse (100010101012), we get a palindrome (2201020201022).

The spelling of 2101010100010 in words is "two trillion, one hundred one billion, ten million, one hundred thousand, ten".