221000212120100 has 144 divisors (see below), whose sum is σ = 561698818724736. Its totient is φ = 73890436992000.

The previous prime is 221000212120097. The next prime is 221000212120291. The reversal of 221000212120100 is 1021212000122.

221000212120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62657570 + ... + 66090630.

It is an arithmetic number, because the mean of its divisors is an integer number (3900686241144).

Almost surely, 2^{221000212120100} is an apocalyptic number.

221000212120100 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 221000212120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280849409362368).

221000212120100 is an abundant number, since it is smaller than the sum of its proper divisors (340698606604636).

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

221000212120100 is a wasteful number, since it uses less digits than its factorization.

221000212120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435366 (or 3435359 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221000212120100 its reverse (1021212000122), we get a palindrome (222021424120222).

The spelling of 221000212120100 in words is "two hundred twenty-one trillion, two hundred twelve million, one hundred twenty thousand, one hundred".