100101321221 has 16 divisors (see below), whose sum is σ = 115704946368. Its totient is φ = 85589011200.

The previous prime is 100101321209. The next prime is 100101321259. The reversal of 100101321221 is 122123101001.

It is not a de Polignac number, because 100101321221 - 2¹⁸ = 100101059077 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100101321196 and 100101321205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101381221) 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, 87506 + ... + 455916.

It is an arithmetic number, because the mean of its divisors is an integer number (7231559148).

Almost surely, 2^100101321221 is an apocalyptic number.

100101321221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101321221 is a deficient number, since it is larger than the sum of its proper divisors (15603625147).

100101321221 is a wasteful number, since it uses less digits than its factorization.

100101321221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369892.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100101321221 its reverse (122123101001), we get a palindrome (222224422222).

The spelling of 100101321221 in words is "one hundred billion, one hundred one million, three hundred twenty-one thousand, two hundred twenty-one".