201000221100 has 432 divisors, whose sum is σ = 754396604416. Its totient is φ = 43794432000.

The previous prime is 201000221047. The next prime is 201000221101. The reversal of 201000221100 is 1122000102.

It is a super-3 number, since 3×201000221100³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

201000221100 is a modest number, since divided by 221100 gives 201000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (201000221101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13077420 + ... + 13092780.

Almost surely, 2^201000221100 is an apocalyptic number.

201000221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377198302208).

201000221100 is an abundant number, since it is smaller than the sum of its proper divisors (553396383316).

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

201000221100 is a wasteful number, since it uses less digits than its factorization.

201000221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15486 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000221100 its reverse (1122000102), we get a palindrome (202122221202).

The spelling of 201000221100 in words is "two hundred one billion, two hundred twenty-one thousand, one hundred".