2011100100212 has 18 divisors (see below), whose sum is σ = 4094025204402. Its totient is φ = 861900042864.

The previous prime is 2011100100209. The next prime is 2011100100227. The reversal of 2011100100212 is 2120010011102.

It can be written as a sum of positive squares in only one way, i.e., 1093726922596 + 917373177616 = 1045814^2 + 957796^2 .

It is a super-2 number, since 2×2011100100212² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011100100193 and 2011100100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5130357203 + ... + 5130357594.

It is an arithmetic number, because the mean of its divisors is an integer number (227445844689).

Almost surely, 2^{2011100100212} is an apocalyptic number.

It is an amenable number.

2011100100212 is an abundant number, since it is smaller than the sum of its proper divisors (2082925104190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011100100212 is a wasteful number, since it uses less digits than its factorization.

2011100100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260714815 (or 10260714806 counting only the distinct ones).

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

Adding to 2011100100212 its reverse (2120010011102), we get a palindrome (4131110111314).

The spelling of 2011100100212 in words is "two trillion, eleven billion, one hundred million, one hundred thousand, two hundred twelve".