100111022001221 has 128 divisors (see below), whose sum is σ = 136373118566400. Its totient is φ = 71122865184000.

The previous prime is 100111022001197. The next prime is 100111022001233. The reversal of 100111022001221 is 122100220111001.

It is a de Polignac number, because none of the positive numbers 2^k-100111022001221 is a prime.

It is a super-2 number, since 2×100111022001221² (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 = 100111022001196 and 100111022001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111022001251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14574319175 + ... + 14574326043.

It is an arithmetic number, because the mean of its divisors is an integer number (1065414988800).

Almost surely, 2^{100111022001221} is an apocalyptic number.

100111022001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111022001221 is a deficient number, since it is larger than the sum of its proper divisors (36262096565179).

100111022001221 is a wasteful number, since it uses less digits than its factorization.

100111022001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100111022001221 its reverse (122100220111001), we get a palindrome (222211242112222).

The spelling of 100111022001221 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, one thousand, two hundred twenty-one".