121100101122 has 384 divisors, whose sum is σ = 340389568512. Its totient is φ = 27925793280.

The previous prime is 121100101093. The next prime is 121100101139. The reversal of 121100101122 is 221101001121.

It is a junction number, because it is equal to n+sod(n) for n = 121100101098 and 121100101107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261555063 + ... + 261555525.

It is an arithmetic number, because the mean of its divisors is an integer number (886431168).

Almost surely, 2^121100101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121100101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170194784256).

121100101122 is an abundant number, since it is smaller than the sum of its proper divisors (219289467390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121100101122 is a wasteful number, since it uses less digits than its factorization.

121100101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

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

Adding to 121100101122 its reverse (221101001121), we get a palindrome (342201102243).

It can be divided in two parts, 121100 and 101122, that added together give a palindrome (222222).

The spelling of 121100101122 in words is "one hundred twenty-one billion, one hundred million, one hundred one thousand, one hundred twenty-two".