121100212011 has 96 divisors (see below), whose sum is σ = 186196345920. Its totient is φ = 69706801152.

The previous prime is 121100212001. The next prime is 121100212031. The reversal of 121100212011 is 110212001121.

It is not a de Polignac number, because 121100212011 - 2⁵ = 121100211979 is a prime.

It is a super-2 number, since 2×121100212011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121100212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264989295 + ... + 264989751.

It is an arithmetic number, because the mean of its divisors is an integer number (1939545270).

Almost surely, 2^121100212011 is an apocalyptic number.

121100212011 is a deficient number, since it is larger than the sum of its proper divisors (65096133909).

121100212011 is a wasteful number, since it uses less digits than its factorization.

121100212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121100212011 its reverse (110212001121), we get a palindrome (231312213132).

The spelling of 121100212011 in words is "one hundred twenty-one billion, one hundred million, two hundred twelve thousand, eleven".