10011002121122 has 48 divisors (see below), whose sum is σ = 15693401583360. Its totient is φ = 4787823530880.

The previous prime is 10011002121119. The next prime is 10011002121137. The reversal of 10011002121122 is 22112120011001.

It is a junction number, because it is equal to n+sod(n) for n = 10011002121097 and 10011002121106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256390133 + ... + 256429175.

It is an arithmetic number, because the mean of its divisors is an integer number (326945866320).

Almost surely, 2^{10011002121122} is an apocalyptic number.

10011002121122 is a deficient number, since it is larger than the sum of its proper divisors (5682399462238).

10011002121122 is a wasteful number, since it uses less digits than its factorization.

10011002121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619 (or 40578 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011002121122 its reverse (22112120011001), we get a palindrome (32123122132123).

The spelling of 10011002121122 in words is "ten trillion, eleven billion, two million, one hundred twenty-one thousand, one hundred twenty-two".