2110100101102 has 64 divisors (see below), whose sum is σ = 3844437442560. Its totient is φ = 848490098400.

The previous prime is 2110100101091. The next prime is 2110100101117. The reversal of 2110100101102 is 2011010010112.

It is a super-3 number, since 3×2110100101102³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19234827 + ... + 19344217.

It is an arithmetic number, because the mean of its divisors is an integer number (60069335040).

Almost surely, 2^{2110100101102} is an apocalyptic number.

2110100101102 is a deficient number, since it is larger than the sum of its proper divisors (1734337341458).

2110100101102 is a wasteful number, since it uses less digits than its factorization.

2110100101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110117.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2110100101102 its reverse (2011010010112), we get a palindrome (4121110111214).

It can be divided in two parts, 211010010110 and 2, that added together give a palindrome (211010010112).

The spelling of 2110100101102 in words is "two trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred two".