100111121001221 has 16 divisors (see below), whose sum is σ = 109946128032000. Its totient is φ = 90398458075200.

The previous prime is 100111121001181. The next prime is 100111121001313. The reversal of 100111121001221 is 122100121111001.

It is not a de Polignac number, because 100111121001221 - 2²² = 100111116806917 is a prime.

It is a super-2 number, since 2×100111121001221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111121001196 and 100111121001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111121001421) 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, 233046251 + ... + 233475431.

It is an arithmetic number, because the mean of its divisors is an integer number (6871633002000).

Almost surely, 2^{100111121001221} is an apocalyptic number.

100111121001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111121001221 is a deficient number, since it is larger than the sum of its proper divisors (9835007030779).

100111121001221 is a wasteful number, since it uses less digits than its factorization.

100111121001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571660.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111121001221 its reverse (122100121111001), we get a palindrome (222211242112222).

The spelling of 100111121001221 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, one thousand, two hundred twenty-one".