121010011122 has 128 divisors (see below), whose sum is σ = 328168931328. Its totient is φ = 28725984000.

The previous prime is 121010011093. The next prime is 121010011139. The reversal of 121010011122 is 221110010121.

It is a junction number, because it is equal to n+sod(n) for n = 121010011098 and 121010011107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506863 + ... + 706349.

It is an arithmetic number, because the mean of its divisors is an integer number (2563819776).

Almost surely, 2^121010011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121010011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164084465664).

121010011122 is an abundant number, since it is smaller than the sum of its proper divisors (207158920206).

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

121010011122 is a wasteful number, since it uses less digits than its factorization.

121010011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199624.

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

Adding to 121010011122 its reverse (221110010121), we get a palindrome (342120021243).

The spelling of 121010011122 in words is "one hundred twenty-one billion, ten million, eleven thousand, one hundred twenty-two".