100111202222121 has 16 divisors (see below), whose sum is σ = 148324679451520. Its totient is φ = 66735497209680.

The previous prime is 100111202222051. The next prime is 100111202222173. The reversal of 100111202222121 is 121222202111001.

100111202222121 is a `hidden beast` number, since 10 + 0 + 111 + 202 + 222 + 121 = 666.

It is not a de Polignac number, because 100111202222121 - 2⁹ = 100111202221609 is a prime.

It is a super-3 number, since 3×100111202222121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111202222094 and 100111202222103.

It is not an unprimeable number, because it can be changed into a prime (100111202222621) 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, 146994850 + ... + 147674331.

It is an arithmetic number, because the mean of its divisors is an integer number (9270292465720).

Almost surely, 2^{100111202222121} is an apocalyptic number.

It is an amenable number.

100111202222121 is a deficient number, since it is larger than the sum of its proper divisors (48213477229399).

100111202222121 is a wasteful number, since it uses less digits than its factorization.

100111202222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294681773 (or 294681767 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100111202222121 its reverse (121222202111001), we get a palindrome (221333404333122).

The spelling of 100111202222121 in words is "one hundred trillion, one hundred eleven billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty-one".