121122221011 has 48 divisors (see below), whose sum is σ = 137427704064. Its totient is φ = 106634880000.

The previous prime is 121122220963. The next prime is 121122221063. The reversal of 121122221011 is 110122221121.

It is not a de Polignac number, because 121122221011 - 2¹³ = 121122212819 is a prime.

It is a super-3 number, since 3×121122221011³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121122221071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122221726 + ... + 122222716.

It is an arithmetic number, because the mean of its divisors is an integer number (2863077168).

Almost surely, 2^121122221011 is an apocalyptic number.

121122221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121122221011 is a deficient number, since it is larger than the sum of its proper divisors (16305483053).

121122221011 is a wasteful number, since it uses less digits than its factorization.

121122221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121122221011 its reverse (110122221121), we get a palindrome (231244442132).

It can be divided in two parts, 1211 and 22221011, that added together give a palindrome (22222222).

The spelling of 121122221011 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, eleven".