2120100011 has 16 divisors (see below), whose sum is σ = 2207295360. Its totient is φ = 2035138560.

The previous prime is 2120099999. The next prime is 2120100023. The reversal of 2120100011 is 1100010212.

It is an interprime number because it is at equal distance from previous prime (2120099999) and next prime (2120100023).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120100011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120100511) 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, 470891 + ... + 475371.

It is an arithmetic number, because the mean of its divisors is an integer number (137955960).

Almost surely, 2^2120100011 is an apocalyptic number.

2120100011 is a deficient number, since it is larger than the sum of its proper divisors (87195349).

2120100011 is a wasteful number, since it uses less digits than its factorization.

2120100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2120100011 is about 46044.5437701363. The cubic root of 2120100011 is about 1284.6518582276.

Adding to 2120100011 its reverse (1100010212), we get a palindrome (3220110223).

The spelling of 2120100011 in words is "two billion, one hundred twenty million, one hundred thousand, eleven".