2011100010221 has 16 divisors (see below), whose sum is σ = 2148712497600. Its totient is φ = 1876668507648.

The previous prime is 2011100010211. The next prime is 2011100010233. The reversal of 2011100010221 is 1220100011102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011100010221 is a prime.

It is a super-2 number, since 2×2011100010221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100010211) 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, 18262301 + ... + 18372093.

It is an arithmetic number, because the mean of its divisors is an integer number (134294531100).

Almost surely, 2^{2011100010221} is an apocalyptic number.

It is an amenable number.

2011100010221 is a deficient number, since it is larger than the sum of its proper divisors (137612487379).

2011100010221 is a wasteful number, since it uses less digits than its factorization.

2011100010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124268.

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

Adding to 2011100010221 its reverse (1220100011102), we get a palindrome (3231200021323).

The spelling of 2011100010221 in words is "two trillion, eleven billion, one hundred million, ten thousand, two hundred twenty-one".