100111020021221 has 16 divisors (see below), whose sum is σ = 109263001180608. Its totient is φ = 90967542806400.

The previous prime is 100111020021163. The next prime is 100111020021247. The reversal of 100111020021221 is 122120020111001.

It is a cyclic number.

It is not a de Polignac number, because 100111020021221 - 2³⁴ = 100093840152037 is a prime.

It is a super-2 number, since 2×100111020021221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111020021196 and 100111020021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111025021221) 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, 279779201 + ... + 280136793.

It is an arithmetic number, because the mean of its divisors is an integer number (6828937573788).

Almost surely, 2^{100111020021221} is an apocalyptic number.

100111020021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111020021221 is a deficient number, since it is larger than the sum of its proper divisors (9151981159387).

100111020021221 is a wasteful number, since it uses less digits than its factorization.

100111020021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369412.

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

Adding to 100111020021221 its reverse (122120020111001), we get a palindrome (222231040132222).

The spelling of 100111020021221 in words is "one hundred trillion, one hundred eleven billion, twenty million, twenty-one thousand, two hundred twenty-one".