221201220201000 has 128 divisors (see below), whose sum is σ = 743236100006400. Its totient is φ = 54449531116800.

The previous prime is 221201220200993. The next prime is 221201220201001. The reversal of 221201220201000 is 102022102122.

It is a super-2 number, since 2×221201220201000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (221201220201001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2835874080 + ... + 2835952079.

It is an arithmetic number, because the mean of its divisors is an integer number (5806532031300).

Almost surely, 2^{221201220201000} is an apocalyptic number.

221201220201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201220201000 is an abundant number, since it is smaller than the sum of its proper divisors (522034879805400).

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

221201220201000 is a wasteful number, since it uses less digits than its factorization.

221201220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5671826196 (or 5671826182 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221201220201000 its reverse (102022102122), we get a palindrome (221303242303122).

The spelling of 221201220201000 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred twenty million, two hundred one thousand".