2100211110213 has 16 divisors (see below), whose sum is σ = 2977165549440. Its totient is φ = 1313995901504.

The previous prime is 2100211110181. The next prime is 2100211110241. The reversal of 2100211110213 is 3120111120012.

It is a cyclic number.

It is not a de Polignac number, because 2100211110213 - 2⁵ = 2100211110181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100211110192 and 2100211110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100211110253) 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, 287145798 + ... + 287153111.

It is an arithmetic number, because the mean of its divisors is an integer number (186072846840).

Almost surely, 2^{2100211110213} is an apocalyptic number.

2100211110213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2100211110213 is a deficient number, since it is larger than the sum of its proper divisors (876954439227).

2100211110213 is a wasteful number, since it uses less digits than its factorization.

2100211110213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574298988.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2100211110213 its reverse (3120111120012), we get a palindrome (5220322230225).

The spelling of 2100211110213 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred ten thousand, two hundred thirteen".