2102100100211 has 16 divisors (see below), whose sum is σ = 2140189728768. Its totient is φ = 2064365352000.

The previous prime is 2102100100189. The next prime is 2102100100253. The reversal of 2102100100211 is 1120010012012.

It is a cyclic number.

It is not a de Polignac number, because 2102100100211 - 2²² = 2102095905907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102100100192 and 2102100100201.

It is not an unprimeable number, because it can be changed into a prime (2102100100271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29802536 + ... + 29872986.

It is an arithmetic number, because the mean of its divisors is an integer number (133761858048).

Almost surely, 2^{2102100100211} is an apocalyptic number.

2102100100211 is a deficient number, since it is larger than the sum of its proper divisors (38089628557).

2102100100211 is a wasteful number, since it uses less digits than its factorization.

2102100100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72962.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2102100100211 its reverse (1120010012012), we get a palindrome (3222110112223).

The spelling of 2102100100211 in words is "two trillion, one hundred two billion, one hundred million, one hundred thousand, two hundred eleven".