100111010001221 has 8 divisors (see below), whose sum is σ = 101411487888000. Its totient is φ = 98811363362400.

The previous prime is 100111010001217. The next prime is 100111010001257. The reversal of 100111010001221 is 122100010111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111010001221 - 2² = 100111010001217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111010007221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207569555 + ... + 208051296.

It is an arithmetic number, because the mean of its divisors is an integer number (12676435986000).

Almost surely, 2^{100111010001221} is an apocalyptic number.

It is an amenable number.

100111010001221 is a deficient number, since it is larger than the sum of its proper divisors (1300477886779).

100111010001221 is an equidigital number, since it uses as much as digits as its factorization.

100111010001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415623979.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111010001221 its reverse (122100010111001), we get a palindrome (222211020112222).

The spelling of 100111010001221 in words is "one hundred trillion, one hundred eleven billion, ten million, one thousand, two hundred twenty-one".