221281953251073 has 128 divisors (see below), whose sum is σ = 353714367283200. Its totient is φ = 121290448308480.

The previous prime is 221281953251003. The next prime is 221281953251131. The reversal of 221281953251073 is 370152359182122.

It is not a de Polignac number, because 221281953251073 - 2²² = 221281949056769 is a prime.

It is a super-2 number, since 2×221281953251073² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221281953251003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2175287590 + ... + 2175389312.

It is an arithmetic number, because the mean of its divisors is an integer number (2763393494400).

Almost surely, 2^{221281953251073} is an apocalyptic number.

It is an amenable number.

221281953251073 is a deficient number, since it is larger than the sum of its proper divisors (132432414032127).

221281953251073 is a wasteful number, since it uses less digits than its factorization.

221281953251073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102339.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 221281953251073 in words is "two hundred twenty-one trillion, two hundred eighty-one billion, nine hundred fifty-three million, two hundred fifty-one thousand, seventy-three".