221211220410 has 96 divisors (see below), whose sum is σ = 609397281792. Its totient is φ = 55481771520.

The previous prime is 221211220337. The next prime is 221211220463. The reversal of 221211220410 is 14022112122.

221211220410 is a `hidden beast` number, since 2 + 21 + 2 + 11 + 220 + 410 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2226495 + ... + 2323725.

It is an arithmetic number, because the mean of its divisors is an integer number (6347888352).

Almost surely, 2^221211220410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211220410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304698640896).

221211220410 is an abundant number, since it is smaller than the sum of its proper divisors (388186061382).

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

221211220410 is a wasteful number, since it uses less digits than its factorization.

221211220410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98748 (or 98745 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221211220410 its reverse (14022112122), we get a palindrome (235233332532).

The spelling of 221211220410 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred twenty thousand, four hundred ten".