221001031331010 has 160 divisors (see below), whose sum is σ = 719089070325120. Its totient is φ = 47543078988288.

The previous prime is 221001031330969. The next prime is 221001031331023. The reversal of 221001031331010 is 10133130100122.

221001031331010 is a `hidden beast` number, since 2 + 21 + 0 + 0 + 10 + 313 + 310 + 10 = 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 pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1146293440 + ... + 1146486219.

It is an arithmetic number, because the mean of its divisors is an integer number (4494306689532).

Almost surely, 2^{221001031331010} is an apocalyptic number.

221001031331010 is an abundant number, since it is smaller than the sum of its proper divisors (498088038994110).

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

221001031331010 is a wasteful number, since it uses less digits than its factorization.

221001031331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292779702 (or 2292779693 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 221001031331010 its reverse (10133130100122), we get a palindrome (231134161431132).

The spelling of 221001031331010 in words is "two hundred twenty-one trillion, one billion, thirty-one million, three hundred thirty-one thousand, ten".