121112102001 has 16 divisors (see below), whose sum is σ = 176169470400. Its totient is φ = 73398601920.

The previous prime is 121112101937. The next prime is 121112102009. The reversal of 121112102001 is 100201211121.

It is not a de Polignac number, because 121112102001 - 2⁶ = 121112101937 is a prime.

It is a super-2 number, since 2×121112102001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121112102009) 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, 1228075 + ... + 1323023.

It is an arithmetic number, because the mean of its divisors is an integer number (11010591900).

Almost surely, 2^121112102001 is an apocalyptic number.

121112102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121112102001 is a deficient number, since it is larger than the sum of its proper divisors (55057368399).

121112102001 is a wasteful number, since it uses less digits than its factorization.

121112102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133616.

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

Adding to 121112102001 its reverse (100201211121), we get a palindrome (221313313122).

It can be divided in two parts, 12111 and 2102001, that added together give a palindrome (2114112).

The spelling of 121112102001 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred two thousand, one".