2011100101221 has 16 divisors (see below), whose sum is σ = 2755700857728. Its totient is φ = 1303826668800.

The previous prime is 2011100101211. The next prime is 2011100101229. The reversal of 2011100101221 is 1221010011102.

It is not a de Polignac number, because 2011100101221 - 2⁵ = 2011100101189 is a prime.

It is a super-2 number, since 2×2011100101221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011100101197 and 2011100101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100101229) 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, 26248576 + ... + 26325081.

It is an arithmetic number, because the mean of its divisors is an integer number (172231303608).

Almost surely, 2^{2011100101221} is an apocalyptic number.

It is an amenable number.

2011100101221 is a deficient number, since it is larger than the sum of its proper divisors (744600756507).

2011100101221 is a wasteful number, since it uses less digits than its factorization.

2011100101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52574012.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011100101221 its reverse (1221010011102), we get a palindrome (3232110112323).

The spelling of 2011100101221 in words is "two trillion, eleven billion, one hundred million, one hundred one thousand, two hundred twenty-one".