221221010201000 has 64 divisors (see below), whose sum is σ = 521381316456000. Its totient is φ = 87851796801600.

The previous prime is 221221010200979. The next prime is 221221010201033. The reversal of 221221010201000 is 102010122122.

221221010201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795620030 + ... + 795898029.

It is an arithmetic number, because the mean of its divisors is an integer number (8146583069625).

Almost surely, 2^{221221010201000} is an apocalyptic number.

221221010201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221010201000 is an abundant number, since it is smaller than the sum of its proper divisors (300160306255000).

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

221221010201000 is a wasteful number, since it uses less digits than its factorization.

221221010201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591518219 (or 1591518205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221221010201000 its reverse (102010122122), we get a palindrome (221323020323122).

The spelling of 221221010201000 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, ten million, two hundred one thousand".