201101212221100 has 72 divisors (see below), whose sum is σ = 454926782572416. Its totient is φ = 77074881600000.

The previous prime is 201101212221067. The next prime is 201101212221101. The reversal of 201101212221100 is 1122212101102.

It is not an unprimeable number, because it can be changed into a prime (201101212221101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320832241 + ... + 321458440.

It is an arithmetic number, because the mean of its divisors is an integer number (6318427535728).

Almost surely, 2^{201101212221100} is an apocalyptic number.

201101212221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101212221100 is an abundant number, since it is smaller than the sum of its proper divisors (253825570351316).

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

201101212221100 is a wasteful number, since it uses less digits than its factorization.

201101212221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642290827 (or 642290820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201101212221100 its reverse (1122212101102), we get a palindrome (202223424322202).

The spelling of 201101212221100 in words is "two hundred one trillion, one hundred one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".