221211002121000 has 512 divisors, whose sum is σ = 721373672448000. Its totient is φ = 56381178240000.

The previous prime is 221211002120993. The next prime is 221211002121019. The reversal of 221211002121000 is 121200112122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9502587361 + ... + 9502610639.

It is an arithmetic number, because the mean of its divisors is an integer number (1408932954000).

Almost surely, 2^{221211002121000} is an apocalyptic number.

221211002121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360686836224000).

221211002121000 is an abundant number, since it is smaller than the sum of its proper divisors (500162670327000).

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

221211002121000 is a wasteful number, since it uses less digits than its factorization.

221211002121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24850 (or 24836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221211002121000 its reverse (121200112122), we get a palindrome (221332202233122).

The spelling of 221211002121000 in words is "two hundred twenty-one trillion, two hundred eleven billion, two million, one hundred twenty-one thousand".