10011122403204 has 192 divisors, whose sum is σ = 26611619328000. Its totient is φ = 2903754147840.

The previous prime is 10011122403197. The next prime is 10011122403211. The reversal of 10011122403204 is 40230422111001.

It is an interprime number because it is at equal distance from previous prime (10011122403197) and next prime (10011122403211).

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, 1054796899 + ... + 1054806389.

It is an arithmetic number, because the mean of its divisors is an integer number (138602184000).

Almost surely, 2^{10011122403204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011122403204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305809664000).

10011122403204 is an abundant number, since it is smaller than the sum of its proper divisors (16600496924796).

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

10011122403204 is a wasteful number, since it uses less digits than its factorization.

10011122403204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10011122403204 its reverse (40230422111001), we get a palindrome (50241544514205).

The spelling of 10011122403204 in words is "ten trillion, eleven billion, one hundred twenty-two million, four hundred three thousand, two hundred four".