2102100122011 has 16 divisors (see below), whose sum is σ = 2137185546048. Its totient is φ = 2067335424000.

The previous prime is 2102100121997. The next prime is 2102100122033. The reversal of 2102100122011 is 1102210012012.

It is a cyclic number.

It is not a de Polignac number, because 2102100122011 - 2³⁷ = 1964661168539 is a prime.

It is a super-2 number, since 2×2102100122011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102100121982 and 2102100122000.

It is not an unprimeable number, because it can be changed into a prime (2102100120011) 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, 14962585 + ... + 15102421.

It is an arithmetic number, because the mean of its divisors is an integer number (133574096628).

Almost surely, 2^{2102100122011} is an apocalyptic number.

2102100122011 is a deficient number, since it is larger than the sum of its proper divisors (35085424037).

2102100122011 is a wasteful number, since it uses less digits than its factorization.

2102100122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140982.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102100122011 its reverse (1102210012012), we get a palindrome (3204310134023).

The spelling of 2102100122011 in words is "two trillion, one hundred two billion, one hundred million, one hundred twenty-two thousand, eleven".