2101101112010 has 8 divisors (see below), whose sum is σ = 3781982001636. Its totient is φ = 840440444800.

The previous prime is 2101101111937. The next prime is 2101101112027. The reversal of 2101101112010 is 102111011012.

It can be written as a sum of positive squares in 2 ways, for example, as 1916793177289 + 184307934721 = 1384483^2 + 429311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101101111982 and 2101101112000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105055055591 + ... + 105055055610.

Almost surely, 2^{2101101112010} is an apocalyptic number.

2101101112010 is a deficient number, since it is larger than the sum of its proper divisors (1680880889626).

2101101112010 is a wasteful number, since it uses less digits than its factorization.

2101101112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210110111208.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101101112010 its reverse (102111011012), we get a palindrome (2203212123022).

The spelling of 2101101112010 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, ten".