221020222001000 has 64 divisors (see below), whose sum is σ = 517190973745680. Its totient is φ = 88407464140800.

The previous prime is 221020222000951. The next prime is 221020222001003. The reversal of 221020222001000 is 100222020122.

It can be written as a sum of positive squares in 8 ways, for example, as 40861064614756 + 180159157386244 = 6392266^2 + 13422338^2 .

It is not an unprimeable number, because it can be changed into a prime (221020222001003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156690872 + ... + 158095128.

Almost surely, 2^{221020222001000} is an apocalyptic number.

221020222001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020222001000 is an abundant number, since it is smaller than the sum of its proper divisors (296170751744680).

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

221020222001000 is a wasteful number, since it uses less digits than its factorization.

221020222001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561671 (or 1561657 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221020222001000 its reverse (100222020122), we get a palindrome (221120444021122).

The spelling of 221020222001000 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-two million, one thousand".