211221201121002 has 160 divisors (see below), whose sum is σ = 505259314116480. Its totient is φ = 65756725655040.

The previous prime is 211221201120991. The next prime is 211221201121019. The reversal of 211221201121002 is 200121102122112.

211221201121002 is a `hidden beast` number, since 211 + 221 + 20 + 1 + 1 + 210 + 0 + 2 = 666.

It is a super-2 number, since 2×211221201121002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3439101798 + ... + 3439163214.

It is an arithmetic number, because the mean of its divisors is an integer number (3157870713228).

Almost surely, 2^{211221201121002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221201121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252629657058240).

211221201121002 is an abundant number, since it is smaller than the sum of its proper divisors (294038112995478).

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

211221201121002 is a wasteful number, since it uses less digits than its factorization.

211221201121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77258 (or 77249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211221201121002 its reverse (200121102122112), we get a palindrome (411342303243114).

The spelling of 211221201121002 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, two".