221141120410 has 192 divisors, whose sum is σ = 480266249760. Its totient is φ = 73063710720.

The previous prime is 221141120359. The next prime is 221141120411. The reversal of 221141120410 is 14021141122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 48827298961 + 172313821449 = 220969^2 + 415107^2 .

It is not an unprimeable number, because it can be changed into a prime (221141120411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557030332 + ... + 557030728.

Almost surely, 2^221141120410 is an apocalyptic number.

221141120410 is an abundant number, since it is smaller than the sum of its proper divisors (259125129350).

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

221141120410 is a wasteful number, since it uses less digits than its factorization.

221141120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221141120410 its reverse (14021141122), we get a palindrome (235162261532).

It can be divided in two parts, 221141 and 120410, that added together give a triangular number (341551 = T₈₂₆).

The spelling of 221141120410 in words is "two hundred twenty-one billion, one hundred forty-one million, one hundred twenty thousand, four hundred ten".