201101221222100 has 72 divisors (see below), whose sum is σ = 463816511218368. Its totient is φ = 75420829120000.

The previous prime is 201101221222091. The next prime is 201101221222127. The reversal of 201101221222100 is 1222122101102.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224448026 + ... + 225342225.

It is an arithmetic number, because the mean of its divisors is an integer number (6441895989144).

Almost surely, 2^{201101221222100} is an apocalyptic number.

201101221222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101221222100 is an abundant number, since it is smaller than the sum of its proper divisors (262715289996268).

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

201101221222100 is a wasteful number, since it uses less digits than its factorization.

201101221222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449790545 (or 449790538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201101221222100 its reverse (1222122101102), we get a palindrome (202323343323202).

The spelling of 201101221222100 in words is "two hundred one trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred".