2102101100211 has 16 divisors (see below), whose sum is σ = 3236224377344. Its totient is φ = 1188817115904.

The previous prime is 2102101100201. The next prime is 2102101100219. The reversal of 2102101100211 is 1120011012012.

It is not a de Polignac number, because 2102101100211 - 2¹⁷ = 2102100969139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102101100219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515977615 + ... + 515981688.

It is an arithmetic number, because the mean of its divisors is an integer number (202264023584).

Almost surely, 2^{2102101100211} is an apocalyptic number.

2102101100211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2102101100211 is a deficient number, since it is larger than the sum of its proper divisors (1134123277133).

2102101100211 is a wasteful number, since it uses less digits than its factorization.

2102101100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031959410.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2102101100211 its reverse (1120011012012), we get a palindrome (3222112112223).

The spelling of 2102101100211 in words is "two trillion, one hundred two billion, one hundred one million, one hundred thousand, two hundred eleven".