221121100002 has 64 divisors (see below), whose sum is σ = 495741815424. Its totient is φ = 65161635840.

The previous prime is 221121099971. The next prime is 221121100003. The reversal of 221121100002 is 200001121122.

It is not an unprimeable number, because it can be changed into a prime (221121100003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4903068 + ... + 4947960.

It is an arithmetic number, because the mean of its divisors is an integer number (7745965866).

Almost surely, 2^221121100002 is an apocalyptic number.

221121100002 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 221121100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247870907712).

221121100002 is an abundant number, since it is smaller than the sum of its proper divisors (274620715422).

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

221121100002 is a wasteful number, since it uses less digits than its factorization.

221121100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46963.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221121100002 its reverse (200001121122), we get a palindrome (421122221124).

It can be divided in two parts, 221121 and 100002, that added together give a palindrome (321123).

The spelling of 221121100002 in words is "two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, two".