2100011111221 has 8 divisors (see below), whose sum is σ = 2172500064000. Its totient is φ = 2027527143600.

The previous prime is 2100011111197. The next prime is 2100011111227. The reversal of 2100011111221 is 1221111100012.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100011111221 - 2¹⁷ = 2100010980149 is a prime.

It is a super-3 number, since 3×2100011111221³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100011111227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379005 + ... + 2084146.

It is an arithmetic number, because the mean of its divisors is an integer number (271562508000).

Almost surely, 2^{2100011111221} is an apocalyptic number.

It is an amenable number.

2100011111221 is a deficient number, since it is larger than the sum of its proper divisors (72488952779).

2100011111221 is a wasteful number, since it uses less digits than its factorization.

2100011111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492579.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2100011111221 its reverse (1221111100012), we get a palindrome (3321122211233).

The spelling of 2100011111221 in words is "two trillion, one hundred billion, eleven million, one hundred eleven thousand, two hundred twenty-one".