100101221212201 has 16 divisors (see below), whose sum is σ = 110429127230400. Its totient is φ = 89977962764800.

The previous prime is 100101221212199. The next prime is 100101221212229. The reversal of 100101221212201 is 102212122101001.

It is not a de Polignac number, because 100101221212201 - 2¹ = 100101221212199 is a prime.

It is a super-3 number, since 3×100101221212201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101221212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173522721 + ... + 174098641.

It is an arithmetic number, because the mean of its divisors is an integer number (6901820451900).

Almost surely, 2^{100101221212201} is an apocalyptic number.

100101221212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101221212201 is a deficient number, since it is larger than the sum of its proper divisors (10327906018199).

100101221212201 is a wasteful number, since it uses less digits than its factorization.

100101221212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753560.

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

Adding to 100101221212201 its reverse (102212122101001), we get a palindrome (202313343313202).

The spelling of 100101221212201 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred one".