221201121121002 has 192 divisors, whose sum is σ = 537767502105600. Its totient is φ = 65122183526400.

The previous prime is 221201121120977. The next prime is 221201121121069. The reversal of 221201121121002 is 200121121102122.

221201121121002 is a `hidden beast` number, since 221 + 20 + 1 + 1 + 211 + 210 + 0 + 2 = 666.

It is a super-2 number, since 2×221201121121002² (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 95 ways as a sum of consecutive naturals, for example, 18505902258 + ... + 18505914210.

It is an arithmetic number, because the mean of its divisors is an integer number (2800872406800).

Almost surely, 2^{221201121121002} is an apocalyptic number.

221201121121002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201121121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268883751052800).

221201121121002 is an abundant number, since it is smaller than the sum of its proper divisors (316566380984598).

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

221201121121002 is a wasteful number, since it uses less digits than its factorization.

221201121121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15549 (or 15546 counting only the distinct ones).

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

Adding to 221201121121002 its reverse (200121121102122), we get a palindrome (421322242223124).

The spelling of 221201121121002 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, two".