2101101000010 has 16 divisors (see below), whose sum is σ = 3829854988800. Its totient is φ = 829801913616.

The previous prime is 2101100999999. The next prime is 2101101000013. The reversal of 2101101000010 is 100001011012.

It is a junction number, because it is equal to n+sod(n) for n = 2101100999957 and 2101101000002.

It is not an unprimeable number, because it can be changed into a prime (2101101000013) 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, 1329809970 + ... + 1329811549.

It is an arithmetic number, because the mean of its divisors is an integer number (239365936800).

Almost surely, 2^{2101101000010} is an apocalyptic number.

2101101000010 is a deficient number, since it is larger than the sum of its proper divisors (1728753988790).

2101101000010 is a wasteful number, since it uses less digits than its factorization.

2101101000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659621605.

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

Adding to 2101101000010 its reverse (100001011012), we get a palindrome (2201102011022).

The spelling of 2101101000010 in words is "two trillion, one hundred one billion, one hundred one million, ten", and thus it is an aban number.