2100102212011 has 24 divisors (see below), whose sum is σ = 2273506936848. Its totient is φ = 1938483360000.

The previous prime is 2100102211993. The next prime is 2100102212027. The reversal of 2100102212011 is 1102122010012.

It is not a de Polignac number, because 2100102212011 - 2⁵ = 2100102211979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100102211982 and 2100102212000.

It is not an unprimeable number, because it can be changed into a prime (2100102212071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11170336 + ... + 11356786.

It is an arithmetic number, because the mean of its divisors is an integer number (94729455702).

Almost surely, 2^{2100102212011} is an apocalyptic number.

2100102212011 is a deficient number, since it is larger than the sum of its proper divisors (173404724837).

2100102212011 is a wasteful number, since it uses less digits than its factorization.

2100102212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187291 (or 187272 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100102212011 its reverse (1102122010012), we get a palindrome (3202224222023).

The spelling of 2100102212011 in words is "two trillion, one hundred billion, one hundred two million, two hundred twelve thousand, eleven".