111122121001 has 8 divisors (see below), whose sum is σ = 118065845160. Its totient is φ = 104585521024.

The previous prime is 111122120971. The next prime is 111122121013. The reversal of 111122121001 is 100121221111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12387912601 + 98734208400 = 111301^2 + 314220^2 .

It is not a de Polignac number, because 111122121001 - 2¹¹ = 111122118953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111122121031) 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, 11304076 + ... + 11313901.

It is an arithmetic number, because the mean of its divisors is an integer number (14758230645).

Almost surely, 2^111122121001 is an apocalyptic number.

It is an amenable number.

111122121001 is a deficient number, since it is larger than the sum of its proper divisors (6943724159).

111122121001 is an frugal number, since it uses more digits than its factorization.

111122121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22618028 (or 22617994 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111122121001 its reverse (100121221111), we get a palindrome (211243342112).

The spelling of 111122121001 in words is "one hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, one".