2100102111211 has 8 divisors (see below), whose sum is σ = 2261706207264. Its totient is φ = 1938506269440.

The previous prime is 2100102111209. The next prime is 2100102111223. The reversal of 2100102111211 is 1121112010012.

It is a happy number.

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

It is not a de Polignac number, because 2100102111211 - 2¹ = 2100102111209 is a prime.

It is a super-3 number, since 3×2100102111211³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100102111191 and 2100102111200.

It is not an unprimeable number, because it can be changed into a prime (2100102112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530031 + ... + 2557576.

It is an arithmetic number, because the mean of its divisors is an integer number (282713275908).

Almost surely, 2^{2100102111211} is an apocalyptic number.

2100102111211 is a deficient number, since it is larger than the sum of its proper divisors (161604096053).

2100102111211 is a wasteful number, since it uses less digits than its factorization.

2100102111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127141.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2100102111211 its reverse (1121112010012), we get a palindrome (3221214121223).

The spelling of 2100102111211 in words is "two trillion, one hundred billion, one hundred two million, one hundred eleven thousand, two hundred eleven".